If vector a= (10,10) and vector b= (4,5) then ||a+b|| ≠ ||a|| + ||b||. Explain. I don't understand what this question is exactly asking, and I'm not sure how to answer it. Please explain. Thank you very much!!!

31,492 results
  1. Calculus and vectors

    Vector AB is a vector whose tail is at (-4,2) and whose head is at (-1,3). Calculate the magnitude of vector AB Determine the coordinates of point D on vector CD, if C (-6,0) and vector CD= vector AB. Please I need some help. Is there a formula to solve

  2. Physics

    You are given vectors A = 5.0i - 6.5j & B = -3.5i + 7.0j. A third vector C lies on the xy-plane. Vector C is perpendicular to vector A, & the scalar product of C with B is 15.0. From this information, find the components of vector C.

  3. Maths

    The force determined by the vector r=(1,-8,-7) is resolved along three mutually perpendicular directions, one of which is in the direction of the vector a=2i+2j+k. Then the vector component of the force r along vector a is

  4. Calculus

    Find the position vector of a particle whose acceleration vector is a = (1, 2) with an initial velocity vector (0, 0) and initial position vector (1, 0). (10 points) Please give explanation and show work. Thank you so much!

  5. gen. physics II

    Two charges, +Q and ‑Q, are located two meters apart and there is a point along the line that is equidistant from the two charges as indicated. Which vector best represents the direction of the electric field at that point? a. Vector EA b. Vector EB C.

  6. Calculus

    Find the velocity vector for a particle whose position vector is vector components 2t, 5 for all t. (10 points) A) vector components 2, 0 B) vector components t squared, 5 times t C) vector components t cubed over 3, 5 times t squared over 2 D) the square

  7. physics

    i don't see this in my book in a coordinate system, a vector is oriented at angle theta with respect to the x-axis. The y component of the vector equals the vector equals the vector's magnitude multiplied by which trigonometric function?

  8. mechanics and heat

    if the cross product of vector A and vector B is 8i-14j+k and the difference of vector A and vector B is 5i+3j+2k,then find the value of vector A and vector B.

  9. Math: Vectors

    Find any vector w that is perpendicular to both vector "u = 3j + 4k" and vector "v = 2i". Note: i, j and k are unit vectors How would you solve this problem? Please walk me through?

  10. Physics

    A stone is shown at rest on the ground. A. The vector shows the weight of the stone. Complete the vector diagram showing another vector that results in zero net force on the stone. B. What is the conventional name of the vector you have drawn?

  11. Dot Product

    Verify using an example that Vector a • (Vector b • Vector c) = (Vector a • Vector b) • Vector c is not true. Explain your reasoning both numerically and by using the definition of the dot product. I am very confused as to what this means?! Thanks

  12. physics

    Vector vector A has a magnitude of 27 units and points in the positive y-direction. When vector vector B is added to vector A , the resultant vector vector A + vector B points in the negative y-direction with a magnitude of 18 units. Find the magnitude of

  13. Physics

    You are given vectors A = 5.0i - 6.5j and B = -2.5i + 7.0j. A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 15.0. Find the x and y components to vector C. Answer key shows x component is

  14. Vectors

    Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). (This means that addition does not distribute over the dot product.) Explain the problem that arises.

  15. Physics

    4. Which of the following is an accurate statement about vectors? A. Rotating a vector about an axis passing through the tip of the vector does not change the vector(definitely not right) B. The magnitude of a vector can be zero even if one of its

  16. math vectors

    Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3-space to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c. Can you help me think of an

  17. Precalc

    A line in space has the vector equation shown here. Fill in the blanks to find the position vector to the fixed point on the line that appears in the equation: vector r=(5+(6/11)d)vector i + (3+(9/11)d)vector j + (7+(2/11)d)vector k vector v= _____ vector

  18. Physics

    In a coordinate system, a vector is oriented at angle theta with respect to the x-axis. They y component of the vector equals the vector's magnitude multiplied by which trig function? ... please explain

  19. Vectors

    Explain why it is not possible for Vector a • (Vector b • Vector c) to equal (Vector a • Vector b) • Vector c . (This means that the dot product is not associative.)

  20. Calculus

    What does this mean? For any vector Vector a find Vector a × Vector a. Explain why (this is cross product stuff). Thanks

  21. Physics

    The three vectors have magnitude a =3m, b= 4m and c=10m . On the x axis is vector a at 0 degrees then 30 degrees is vector b then 120 degrees is vector c. If vector c =p*vector a + q*vector b .What are the values of p? and q? I am expose to get -6.67 for p

  22. Vectors

    Use a specific example to explore how the cross product behaves under scalar multiplication. Is it true that k(Vector a × Vector b) = (kVector a) × Vector b = Vector a × (kVector b)? Expand to the general case to prove your theory.

  23. Mathematics - Dot Product

    Consider rhombus ABCD a) Find the resultants of vector AB + vector AD and vector AB - vector AD b) What will the value of (vector AB + vector AD) dot product (vector AB - vector AD) always be? Explain. c) Is the value of (vector AB + vector AD) dot product

  24. Math - vectors

    In the product F(vector)=q(V(vector)xB(vector), take q = 4, V(vector)= 2.0i + 4.0j + 6.0k and F(vector)= 136i -176j + 72k. What then is B(vector) in unit-vector notation if Bx = By?

  25. Calculus and vectors

    Vector AB is a vector whose tail is at (-4,2) and whose head is at (-1,3). Calculate the magnitude of vector AB Determine the coordinates of point D on vector CD, if C (-6,0) and vector CD= vector AB. Please I need some help. Is there a formula to solve

  26. Physics

    A farmer builds three sections of a fence as shown in the figure where L = 10.00 m, and gets tired. Walking straight back to where he started, how far did he go. d=? Vector on Y-axis going to origin, L/2 vector going on Positive X Axis, vector going up L

  27. Vectors

    Verify using a specific example that (Vector a + Vector b) × (Vector a – Vector b) = 2(Vector b×Vector a). Expand to the general case to prove that the result is always true.

  28. jane

    1. a centripetal-acceleration addict rides in uniform circular motion with period T=2s and radius r=3m. at t1 his acceleration vector= 6(m/s^2)i + -4(m/s^2)j. At that instant, what are the values of vector b (dot) vector a and vector r (dot) vector a All I

  29. Linear Algebra - Vector Spaces and Vector Subspace

    Can I have help with the following question related to the concept vector 'subspaces'? Question : Let X and Y be vector subspaces of a vector space V over a field F, (V,+,•,F). Prove that the intersection of X and Y is also a vector subspace of V. (1)So

  30. Math

    Use a specific example to explore how the cross product behaves under scalar multiplication. Is it true that k (Vector a × Vector b) = (kVector a) × Vector b = Vector a × (kVector b)? Expand to the general case to prove your theory.

  31. Physics

    A stone is shown at rest on the ground. A. The vector shows the weight of the stone. Complete the vector diagram showing another vector that results in zero net force on the stone. B. What is the conventional name of the vector you have drawn?

  32. physcis

    A stone is shown at rest on the ground a vector shows the weight of the stone. complete the vector diagram showing another vector that results in zero net force on the stone. b. what is the conventional name of the vector you have drawn

  33. Physics

    A stone is shown at rest on the ground. A. The vector shows the weight of the stone. Complete the vector diagram showing another vector that results in zero net force on the stone. B. What is the conventional name of the vector you have drawn?

  34. calculus

    State whether or not the following statements are true. Justify your reasoning.? a. Vector a • (Vector b + Vector c) = Vector a • Vector b + Vector a • Vector c b. Vector a × (Vector b + Vector c) = Vector a × Vector b + Vector a × Vector c c.

  35. Vectors

    Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). Explain the problem that arises

  36. Physics

    When two vectors vector A and vector B are drawn from a common point, the angle between them is phi. If vector A and vector B have the same magnitude, for which value of phi will their vector sum have the same magnitude as vector A or vector B?

  37. Physics

    Part A of this question asks for the sum of vector A = 3x+5y and vector B = 1x-3y. I did this and got the vector A + vector B = 4x+2y. Part B then asks what the magnitude and direction of vector A + vector B? The answer in the back of the textbook says

  38. Vectors Math

    For any vector Vector a find Vector a × Vector a. Explain your result.

  39. Physics

    In a coordinate system, a vector is oriented at angle theta with respect to the x-axis. They y component of the vector equals the vector's magnitude multiplied by which trig function? ... please explain

  40. physics

    The drawing shows a force vector vector F that has a magnitude of 600 newtons. It lies at alpha = 67° from the positive z axis, and beta = 31° from the positive x axis. (that's the diagram given) webassign. (delete this space) net/CJ/p1-39alt.gif (a)

  41. Vectors

    Verify (Vector a + Vector b) × (Vector a + Vector b) = 0⃗ . What can be said about two vectors whose cross product is the zero vector?

  42. University Physics

    If vector B is added to vector C = 6.7 + 6.9, the result is a vector in the positive direction of the y axis, with a magnitude equal to that of vector C. What is the magnitude of vector B?

  43. Mamthematics - Vectors

    a) If vector u and vector v are non-collinear vectors show that vector u, vector u cross product vector v and (vector u cross product vector v) cross product vector u are mutually othogonal. b) Verify this property using vectors collinear with the unit

  44. maths

    Given that vector c and vector d are non zero vectors such that vector c =x1i + y1j + z1k and vector d =(y1z2-y2z1)+(x1y2 -x2y1)show that the two vectors are perpendicular.

  45. Physics or Math

    A force F = 0.8 i + 2.5 j N is applied at the point x = 3.0 m, y = 0 m. Find the torque about the point x = -1.3 m, y = 2.4 m. Hmm, (this is essentially just a vector problem) I know you're supposed to find the position vector r and take the cross product

  46. physics

    Any vector can be written as a unit vector multiplied by the magnitude of the vector (a positive scalar). Write each of the following vectors as the magnitude of the vector times the appropriate unit vector: < 0.00330, 0, -0.00330 >

  47. Vactors 12

    Let A and B be any two points on the plane and O be the origin. Prove that vector AB = vector OB - vector OA. Let x be any other point on the plane prove that vector AB = vector xB - vector xA.

  48. maths

    A vector A points vertically downward and vector B points towards east, then the vector product vector A × vectorB is

  49. cartesian vectors 2

    let vector U = (vector u1, vector u2) vector V = (vector v1, vector v2) and vector W = (vector w1, vector w2) Prove each property using Cartesian vectors: a) (vector U+V)+W = vector U+(v+W) b) k(vector U+V) = k vector U + k vector V c) (k+m)vector U = k

  50. Calculus - Dot Product

    consider a rhombus ABCD a) find the resultant of vector AB + vector AD and vector AB - vector AD? (cosine rule) b) What will be the value of the dot product of vector AB + vector AD and vector AB - vector AD always be? (always zero) c) Is this value of the

  51. Physics

    Let vector A = 4i^ + 4j^, vector B = -2i^ - 5j^, and vector F = vector A - 5(vector B). a) Write vector F in component form. vector F = ? b) What is the magnitude of vector F? F = ? c) What is the direction of vector F? theta = ? Thank you!

  52. Physics

    Let vector A = 4i^ + 4j^, vector B = -2i^ - 5j^, and vector F = vector A - 5(vector B). a) Write vector F in component form. vector F = ? b) What is the magnitude of vector F? F = ? c) What is the direction of vector F? theta = ? Thank you!

  53. Calc: PLEASE HELP!

    How can this be proven! I have tried so many ways! PLEASE help! Verify using an example that Vector a + (Vector b • Vector c) = (Vector a • Vector b) + Vector c? Explain your reasoning.

  54. College Physics

    Vector Algebra let A vector=6ihat+3jhat, B vector= -3ihat-6jhat D vector=A vector-B vector what is D vector? Thank You!

  55. Vectors

    Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3-sapce to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c.

  56. Physics

    If vector a and b are two non collinear unit vectors and |vector a+ vector b|=√3 then find the value of ( vector a- vector b).(2 vector a+ vector b)

  57. Calculus and Vectors

    (6) Consider the vectors Vector a=(1,2,3) and Vector b=(-3,0,2). (a) Determine the projection of Vector a onto Vector b. (b) A unit vector is a vector of length 1. Determine a simplified unit vector in the same direction as Vector a .

  58. Calc. for Reiny

    this can be done by projections of two vector. recall that the scalar projection of vector b on vector a is a∙b/│a│ so let's find a point on the give line, e.g. the point B(6,0,1) (I let t=0) draw a perpendicular from your given point P(1,-5,2) to

  59. physics

    Vector vector A has a magnitude of 6.90 units and makes an angle of 46.5° with the positive x-axis. Vector vector B also has a magnitude of 8.00 units and is directed along the negative x-axis. Using graphical methods find the following. (a) The vector

  60. Calculus and Vectors

    If ∣Vector x∣=8, ∣Vector y∣=13 and ∣Vector x + Vector y∣=15, determine ∣Vector x - Vector y∣. You may want to draw a diagram to help with your solution.

  61. Vectors

    For any vector Vector a find Vector a × Vector a. Explain your result.

  62. Vectors Math

    For any vector Vector a find Vector a × Vector a. Explain your result.

  63. Math: Vectors - Collinear

    Can you please check whether my answers are correct? If they aren't, how would you find if the points are parallel to one another with 3 coordinates? Using vectors, demonstrate that these points are collinear. a) P(15 , 10) Q(6 , 4) R(-12 , -8) Vector PQ =

  64. chemistry

    The tail of A vector is fixed to the origen of an X, Y axis system.Originally the vector points along the X axis. As time passes, the vector rotates counterclockwise. Describe how the sizes of the X and Y components of the vector compare to the size of the

  65. physics [vectors]

    The concept i get, but somehow i just can't execute this problem, please help me! You are given vectors A = 5.5 6.2 and B = - 3.7 7.4 . A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 19.0.

  66. Math

    A straight line l is parallel to a vector a and passes through a point B whose position vector is b. The point C has position vector c and vectoe p os the position vector of the foot of the perpendicular drawn from C to l. Prove that p = [ (c-b)a ]/( |

  67. math-complex numbers

    If z = -3+4i, determine the following related complex numbers. a)vector z b)3(vector z) c) 1/(vector z) d) |z| e) |vector z| f) (vector z)/(|z|^2)

  68. mathematical physics

    Show that the angular momentum vector(L)=vector(r)×vector(p) vector is an axial vector

  69. physics

    Vector has a magnitude of 122 units and points 37.0 ° north of west. Vector points 64.0 ° east of north. Vector points 17.0 ° west of south. These three vectors add to give a resultant vector that is zero. Using components, find the magnitudes of (a)

  70. Physics

    For the three vectors A+B+C= -1.4i. Vector A is 4i and vector C is -2j. Write vector B as components separated by a comma. What is the magnitude of vector B? How many degrees above the negative x-axis does vector B point? Measure the angle clockwise from

  71. Physics

    Use the definition of scalar product( vector A* vector B = abcos theda and the fact that vector A * vector B = axbx+ ayby+azbz to calculate the angle between the two vectorgiven by vector A= 3i + 3j + 3k and vector B= 2i + 1j + 3k. The book said the answer

  72. science(physics)

    vector a+ vector b= 2i Vector a+ vector b=4j Then the angle between vector a and vector b is ? Plz.solve

  73. Vectors

    a) Let Vector a = (3, 4, 1), Vector b = (5, -2, 3) and Vector c = (0, 1, -3). Find the triple product, Vector a • (Vector b × Vector c).

  74. Linear Algebra

    Demonstrate that the proyection of a vector U over a vector V is parallel to the vector the vector U. I used the formula of proyection and I argued that as the final result is a number multiplied by the vector U then it is parallel. I need help to verify

  75. Physics

    partscoretotalsubmissions1--10/12--10/13--10/14--10/1----4--The tail of a vector is fixed to the origin of an x, y axis system. Originally the vector points along the +x axis. As time passes, the vector rotates counterclockwise. Describe how the sizes of

  76. Physics

    Which of the following is an accurate statement? a) a vector cannot have zero magnitude if one of its components is not zero b) the magnitude of a vector can be less than the magnitude of one of its componenets c) if the magnitude of vector A is less than

  77. Physics

    Vector a has a magnitude of 5 m and is directed esast. Vector b has a magnitude of 4 m and is directed 35 degrees west of north. What are the (a) magnitude and (b) the direction of vector a + vector b? What are the (c)magnitude and (e)direction of vector b

  78. physics

    Vector has a magnitude of 136 units and points 35.0 ° north of west. Vector points 69.0 ° east of north. Vector points 19.0 ° west of south. These three vectors add to give a resultant vector that is zero. Using components, find the magnitudes of (a)

  79. physics

    Vector has a magnitude of 113 units and points 34.0 ° north of west. Vector points 63.0 ° east of north. Vector points 17.0 ° west of south. These three vectors add to give a resultant vector that is zero. Using components, find the magnitudes of (a)

  80. maths

    The position vector of m in the same plane are as the point a and b is given by m=1÷2(a+b).if the vector A(-4,-3),B(2,-1).What is the direction and the relationship of vector AM and vector BM

  81. Vectors Math

    For any vector find Vector a × Vector a. Explain your result.

  82. Pre-Calculus

    determine the projection of u = 1.6 vector i + 3.3 vector j in the vector v = -2.1 vector i - 0.5 vector j direction

  83. mathematical physics

    Given two vector function vector a(t)=(2t+3)i^+(t^2-2)j^+tk^ and vector b(t)=(4-t)i^+(3t^3+1)j^+(2t-1)k^, determine the derivative of vector a(t).vector b(t) at t=1.

  84. maths

    Let vector a and b be two non-null vectors such that |vector a +b| =|vector a-2b| then the values of |vector a| / |vector b| may be:

  85. Physics

    If the expression for a given vector is Vector A-Vector B=(4-5)i^+(3+2)j^ and the magnitude of the difference of the vector is equal to 5.1. What is the direction of the difference Vector A - Vector B. (in the counterclockwise and +x direction)

  86. Vectors

    If Vector a = (5, -5, 3), Vector b = (1, 2, 3), determin proj (Vector a onto Vector b). (Full solutions)

  87. Vectors Math

    If Vector a = (5, -5, 3), Vector b = (1, 2, 3), determin proj (Vector a onto Vector b). (Full solutions)

  88. Physics

    Let vector A = (6.0 m, 300 south of east), vector B = (13.9 m, north), vector C = (5.0 m, 450 south of west). Find the magnitude of vector D = A+B+C?

  89. physics

    Displacement vectors A,B,and C add up to a total of zero. Vector A has a magnitude of 1550 m and a direction of 24.1° north of east. Vector B has a direction of 41.0° east of south, and vector C has a direction of 33.4° north of west. Find the

  90. physics

    Displacement vectors A, B, and C add up to a total of zero. Vector A has a magnitude of 1550 m and a direction of 22.9° north of east. Vector B has a direction of 41.0° east of south, and vector C has a direction of 35.2° north of west. Find the

  91. Calculus

    a square is defined by the unit vectors i(vector) and j(vector). FInd the projections of i(vector) and j(vector) on each of the diagonals of the square.

  92. Physics

    I have a question about a vector addition problem using the polygon method. Vector 1 has a magnitude of .1 and theta of 30 degrees. Vector 2 has a magnitude of .2 and a theta of 90 degrees. Vector 3 has a magnitude of .3 and a theta of 225 degrees. I'm

  93. AP Physics 1 Momentum

    I have a select-multiple question, and I am not sure about everything and I only get one try in my online class...would really appreciate if you could please explain which to select: What is true about momentum value? a)When you muliply mass (a scalar) by

  94. Math

    Hi, 3D GEOMETRY (P) a surface. (AB), (AC), (BC) lines that intercept the surface in three points M1, M2, M3. We have Vector(M1A) = k1 * Vector(M1B) Vector(M1C) = k2 * Vector(M1A) Vector(M1B) = k3 * Vector(M1C) Show that k1*k2*k3=1. Thanks!

  95. physics

    You are given a vector in the xy plane that has a magnitude of 94.0 units and a y component of -44.0 units. A. What are the two possibilities for its component? For this part I got x = 83.1 and -83.1 B. Assuming the x component is known to be positive,

  96. Physics

    The acceleration of a particle moving only on a horizontal xy plane is given by , where is in meters per second-squared and t is in seconds. At t = 0, the position vector locates the paticle, which then has the velocity vector . At t = 3.60 s, what are (a)

  97. PHYSICS VECTORS

    1. The problem statement, all variables and given/known data Find the vector product of Vector A cross Vector B(expressed in unit vectors) of the two vectors. What is the magnitude of the vector product? 2. Relevant equations Vector A= 5.00i + 2.00j Vector

  98. Precalc

    Given the plane 3x+2y+5z=54 and the points P0(6, 8, 4)[on plane] and P1(13, 18, 5) [not on plane] A. Find vector n, a vector normal to the plane B. Find vector v from P0 to P1 C. Find the angle between vector n and vector v D. Find p, the scalar projection

  99. sciencde

    Vector A has a magnitude of 248 N and direction angles of α = 85°, β = 114°, and γ = 25°. Express Vector A in unit vector notation.

  100. physics

    if vector a is fixed but vector b can be rotated in any direction. what should be the angle of vector b to give the maximum resultant sum

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