The vectors u, v are given by u = 3i + 5j, v = i - 2j. Find scalars a, b such that a(u + v) = 8i + (b - 2)j

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  1. Calculus

    Sketch the vector field F⃗ (r⃗ )=2r⃗ in the plane, where r⃗ =⟨x,y⟩. Select all that apply. A.All the vectors point away from the origin. B. The vectors increase in length as you move away from the origin. C. All the vectors point toward the

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  3. Physics

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  4. Calculus

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  5. Calculus and Vectors

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  6. PreCalculus

    Given vectors u=7i + 3j and v = -4i + 3j, find 5u-4v in terms of unit vectors. I am just beginning the study of vectors and have this problem. Could someone help? Thanks.

  7. Physics

    The sum of two vectors of fixed magnitudes has the greatest magnitude when the angle between these two vectors are?

  8. Math

    if vectors a+2b and 5a-4b are perpendicular to each other and a and b are unit vectors. Find the angle between a and b.

  9. Calculus and vectors

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  10. Digital art

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  11. mathematics

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  12. Pre-calculus

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  13. Physics

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  14. Digital art and design

    “Lesson 1: Final Exam 0103000 M/J Digital Art and Design 1- T2 Unit 5: Final Exam. I have been stuck on this 50 question test for a while now im willing to give away a gift card if someone helps me and puts in the answers by typing them all 50 and not in

  15. chemistry, polar or nonpolar

    Why is NO3 nonpolar but CIF3 is polar? I looked at the lewis structures, they look similar, but why is one opposite. also, when something is polar or non polar, my teacher said I should see which atom is more electronegativity is higher and draw arrows

  16. physics-vectors

    If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then: If the magnitude of the sum of two vectors is less than the magnitude of either vector, then: a. the scaler product of the vectors must be negative b. the

  17. Calculus

    the vectors x and y are unit vectors, that makes an angle of 30 degrees with each other. Calculate 3 x-2y.

  18. Calulas and VECTORS

    THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a * b

  19. physics

    A football player runs the pattern given in the drawing by the three displacement vectors , , and . The magnitudes of these vectors are A = 4.00 m, B = 15.0 m, and C = 18.0 m. Using the component method, find the (a) magnitude and (b)direction of the

  20. Mathematics (Vectors)

    Question being asked: Use the trigonometric ratios and Pythagorean theorem to add the vectors given in the figure. Determine the magnitude and direction of the resultant. The problem has two vectors, the first labeled A is pointing towards the origin in

  21. Math

    t) Let a , b , c and y be the three dimensional vectors a =4j +2k ,b =−3i +4j +4k ,c =3i −j ,y =8i −7j Perform the following operations on these vectors: (a) c⋅a +a⋅y = (b) (a ⋅b )a = (c) ((c⋅c)a )⋅a =

  22. PHYSICS

    Vector A⃗ points in the negative x direction and has a magnitude of 22 units. The vector B⃗ points in the positive y direction. partA:Find the magnitude of B⃗ if A⃗ +B⃗ has a magnitude of 37 units. partB: Sketch A⃗ and B⃗ . Draw the vectors

  23. Physics

    What is the resultant of two displacement vectors having the same direction? a. The resultant is the sum of the two displacements having the same direction as the original vectors. b. The resultant is the difference of the two displacements having the same

  24. math

    The cruising speed of a Boeing 767 in still air is 530 mph. Suppose that a 767 is cruising directly east when it encounters an 80 mph wind blowing 40 degrees south of west. Sketch the vectors for the velocities of the airplane and the wind. Express both

  25. math

    given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q are the unit vectors,find the dot product of vectors p and q?

  26. Physics

    1) The vector sum of three vectors gives a resultant equal to zero. what can you say about the vectors? 2) Vector is 3.00 units in length and points along the positive x-axis. Vector is 4.00 units in length and points along the negative y-axis.Use

  27. physics

    the position vectors of the head and tail of radius vectors are 2i+j+k and 2i-3j+k. the linear momomentum is 2i+3j+k. the angular momentum is

  28. Grade 12 Math

    if a and b are unit vectors, and magnitude of vectors a +b = sq. root of 3, determine (2a-5b) dot (b+3a).

  29. Math - Algebraic Vectors

    Given the vectors: u = [3, 0] v = [-1, 2] a) Express the vector w = [2, 8] as a linear combination of vectors u and v. How do I do this?

  30. math

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  31. vectors

    Determine whether each statement is true or false. Provide a brief justification. a. Two lines with parallel direction vectors willnot intersect. b. Two linesthat are perpendicularin R3 willhave perpendicular direction vectors. c. Two linesthat

  32. Physics

    Find the vector cross product of two vectors C=2i-j and D=i+2j-3k. What is the angle between the vectors

  33. physics

    A football player runs the pattern given in the drawing by the three displacement vectors A, B, and C. The magnitudes of these vectors are A = 5.0 m, B= 15 m, and C = 18 m. Using the component method, find the magnitude and direction è of the resultant

  34. math

    Find an orthonormal basis for the subspace of R^3 consisting of all vectors(a, b, c) such that a+b+c = 0. The subspace is two-dimensional, so you can solve the problem by finding one vector that satisfies the equation and then by constructing another

  35. Math

    Given two non-collinear vectors a and b, show that a, axb, and (axb)xa are mutually perpendicular. Also Express the unit vectors i, j, and k as ordered triplets and show that i x j = k what are ordered triplets? Using components show that u x v = -v x u

  36. Physics

    The magnitudes of the four displacement vectors shown in the drawing are A = 17.0 m, B = 10.0 m, C = 14.0 m, and D = 24.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the

  37. math

    given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q are the unit vectors,find the product of vectors p and q?

  38. Math

    Let a, b, and c be unit vectors, such that a+b+c=0. Show that the angle between any two of these vectors is 120 degrees. I proved this geometrically, but now my teacher wants a proof using vectors, and I don't know what to do.

  39. physical science

    The resultant vector of two particular displacement vectors dose not equal the sum of the magnitudes of the individual vectors. Describe the directions of the two vectors.

  40. linear algebra

    which of the following sets of vectors span R^3? a.){(1, -1, 2), (0, 1, 1)} b.) {1, 2, -1), (6, ,3, 0), (4, -1, 2), (2, -5, 4)} c.) {(2, 2, 3), (-1, -2, 1), (0, 1, 0)} d.) {(1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 1, 1)} can someone show the steps to check for

  41. Calculus and vectors

    Please, help I don't understand vectors T.T 1. In the prism, assume all dimensions have different lengths, state the following: a) state 3 equal vectors to DC⃗ b) state 4 opposite vectors to BC⃗ ------------------------------------- Here is the prism

  42. math

    Two vectors have magnitudes of 3 units and 8 units respectively. The resultant of these two vectors has a magnitude of 8 units. What is the angle between these two vectors?

  43. Physics

    Given the displacement vectors A = (7.00 - 1.00 + 3.00 ) m and B = (6.00 + 5.00 - 3.00 ) m, find the magnitudes of the following vectors and express each in terms of its rectangular components. (a) C = A - B (b) D = 3A + B

  44. Physica

    The sum of two vectors A and B is maximum when both vectors are : A)parallel B) opposite in direction C) perpendicular to each other D) A inclined 45 with B E) none of the above

  45. Physics

    Find the scalar product of the vectors ai+bj and bi-aj . Where a and b are arbitrary constants. What's the angle between the two vectors?

  46. Physics

    Consider two vectors one of magnitude 3 and the other 4 unit, which of the following is not correct? We can combine these vectors to yield a resultant of. A.7 B.5 C.1 D.0

  47. physic

    Three vectors A,B,and C are related to one another such that 5A + 6B = 60C. A fourth vector D exists such that 30C + D = A. Determine an expression for D in terms of the vectors A and B.

  48. Maths-Vectors Help!

    Please can you help me as I have just been introduced to your Help Forum: Determine whether the vectors u, v and w given below are linearly independent or dependent where u, v and w are non-colliner vectors such that u=2a-3b+c , v=3a-5b+2c and w=4a-5b+c.

  49. physic

    Three vectors are shown in the figure below, but they are not drawn to scale. The sum of the three vectors is R = F1 + F2 + F3. If Ry = 0 and F2 = 0.2F3,find Rx in terms of F1. the angle for F1 is 30 degree

  50. URGENTTT!!

    I need to use the scalar triple product. but i don't have any vectors? how am i supposed to know what the vectors all coming from one corner are?? Q:Calculate the volume of the parallelepiped with vertices at: (9,4,3), (7,12,2), (12,5,6), (3,-4,0),

  51. Math

    Prove that vectors u, v and w are coplanar if and only if vectors u, v and w are linearly dependent.

  52. Calculus and vectors

    Please help/verify the answer. 1. When you add vectors geometrically: a) vectors are aligned tail to tail b) vectors are aligned head to head c) vectors are aligned head to tail d) vectors are put side by side Is the answer D?

  53. calculus

    Find two unit vectors that make an angle of 60° with v = 3, 4 (Enter your answer as a comma-separated list of vectors. Round your answers to four decimal places.)

  54. Physics

    A football player runs the pattern given in the drawing by the three displacement vectors A, B, and C. The magnitudes of these vectors are A = 5.0 m, B= 15 m, and C = 18 m. Using the component method, find the magnitude and direction è of the resultant

  55. Calculus

    Suppose vectors a and b are vectors such that a x b =(3,1,4). What is the cross product of twice of a with twice of b?

  56. Physics

    The vectors sums of two vectors of magnitude 10 and 15 unitscan never be

  57. Vectors

    THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a * b

  58. Calculus

    Two force vectors act on an object and the dot product of the two vectors is 20. If both of the force vectors are doubled in magnitude, what is their new dot product?

  59. Physics

    A football player runs the pattern given in the drawing by the three displacement vectors A ,B ,C and . The magnitudes of these vectors are A = 4.00 m, B = 17.0 m, and C = 19.0 m. Using the component method, find the (a) magnitude and (b)direction of the

  60. Linear Algebra

    Prove that If a vector space is of dimension n and a set of vectors spans V, then that set of vectors must be linearly independent.

  61. physics

    Can you help me with this one also? I know how to do it with 3 vectors but I can't seem to draw it with 4 vectors. The magnitudes of the four displacement vectors shown in the drawing are A=16.0 m, B=11.0 m, C=12.0 m, and D=26.0 m. Determine the (1)

  62. Physics

    Please help me with this its very hard to visualize the problem. The analytical method of adding vectors expressed in terms of their components may be applied to vectors in three dimensions, for which graphical work is inconvenient. Find the magnitude of

  63. Calculus

    Name two sets of vectors that could be used to span a set in R^3. Show how the vectors (-1,2,0) and (3,4,0) could each be written as a linear combination of the vectors you have chosen.

  64. college Algebra/Linear Algebra

    Find a Basis for each of these substances of R^4 (a) All vectors whose components are equal (b) All vectors whose component add to zero (c) All vectors that are perpendicular to (1,1,0,0) and (1,0,11) (d) The column space (In R^2) and nullspace(In R^5) of

  65. math

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  66. physics

    Given the vectors = (19 cm, -7 cm) in green and = (-23 cm, 9 cm) in blue shown on the grid below, calculate the magnitude of the vectors described below and select the correct sketch for each from the choices below. The tail-to-head method is used to

  67. Physics

    2 vectors have same magnitude.The magnitude of the resultant vector of these 2 vectors are same as either of both vectors.What is the angle between 2 vectors?

  68. math

    if vectors a+b+c=0 and modulus of the vectors a, b and c are 3 ,5 and 7 respectively. find the angle between the vectors a and b.

  69. 12th grade

    prove that normal to plane containing 3 points whose position vectors are a vector,b vector,c vectorlies in direction addition of cross product of vectors b and c and cross product of vectors c and a and cross product of vectors a and b

  70. sam

    Consider five vectors a, b, c, d and e. Is it true or false that their addition always results in a vector with a greater magnitude than if only two of the vectors were added? False. Right? Because the vectors can have a negative magnitude

  71. Science

    2 vectors have same magnitude.The magnitude of the resultant vectors is same as either of both vectors.What is the angle between 2 vectors?

  72. Science

    Two equal vectors are working at a point.The resultant is equal to one of those vectors.Prove that the resultant bisects the angle between the vectors.

  73. precalculus

    Given vectors u=(-6,4) and v=(3,3), determine if the vectors are orthogonal. if they are not orthogonal, find the angle between the two vectors.

  74. Physica

    The sum of two vectors A and B is maximum when both vectors are : A)parallel B) opposite in direction C) perpendicular to each other D) A inclined 45 with B E) none of the above

  75. Physica

    The sum of two vectors A and B is maximum when both vectors are : A)parallel B) opposite in direction C) perpendicular to each other D) A inclined 45 with B E) none of the above

  76. Physics

    Two vectors are at right angle to each other as shown. Find the resultant vector (the sum of the two vectors).

  77. physics

    Consider two vectors ~ A and ~ B and their re- sultant ~ A + ~ B . The magnitudes of the vectors ~ A and ~ B are, respectively, 13 . 2 and 6 . 1 and they act at 110 ◦ to each other.Find the magnitude of the resultant vector ~ A + ~ B .

  78. perpendicular vectors

    Find two unit vectors each of which is perpendicular to vectors (1, 1, 0) and (1,0,1) What I did: a x b = (1, -1, -1) |axb|=square toot 3 correct answer is +/- (1/√3 - 1/√3 - 1/√3) or =+/- 1/√3 (1, -1, -1)

  79. Calculus

    How would I find the equilibrant of three vectors? I am given a graph of three different vectors which meet at the point (0,0)

  80. URGENTTT!!

    I need to use the scalar triple product. but i don't have any vectors? how am i supposed to know what the vectors all coming from one corner are?? Q:Calculate the volume of the parallelepiped with vertices at: (9,4,3), (7,12,2), (12,5,6), (3,-4,0),

  81. Math

    The position vectors for points P and Q are 4 I + 3 j + 6 j + 6 k respectively. Express vector PQ in terms of unit vectors I, j and k. Hence find the length of PQ, in simplified surd form.

  82. physics

    The magnitudes of the four displacement vectors shown in the drawing are A = 15.0 m, B = 11.0 m, C = 12.0 m, and D = 21.0 m. Determine the magnitude and directional angle for the resultant that occurs when these vectors are added together.

  83. physis

    The magnitudes of the four displacement vectors shown in the drawing are A = 13.0 m, B = 11.0 m, C = 12.0 m, and D = 27.0 m. Determine the magnitude and directional angle for the resultant that occurs when these vectors are added together.

  84. Physics

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  85. physics

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  86. Physics

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  87. vectors

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  88. physics

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  89. CALCULUS!!!!!

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  90. physics only solve now

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  91. physics

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  92. Linear Algebra

    Hello ! i try to solve Linear algebra 2 questions(but need them be written properly as mathmatical proofs) Having A matrice nXn: 1)proove that if A^2=0 the columns of matrice A are vectors in solution space of the system Ax=0 (x and 0 are vectors of

  93. Physics

    A football player runs the pattern given in the drawing by the three displacement vectors , , and . The magnitudes of these vectors are A = 6.00 m, B = 13.0 m, and C = 15.0 m. Using the component method, find the (a) magnitude and (b)direction of the

  94. Science

    1) The vector sum of three vectors gives a resultant equal to zero. what can you say about the vectors? 2) Vector is 3.00 units in length and points along the positive x-axis. Vector is 4.00 units in length and points along the negative y-axis.Use

  95. Physics

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  96. maths

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  97. Physics

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  98. Physics

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  99. Physics

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  100. PHYSICS

    The magnitudes of the four displacement vectors shown in the drawing are A = 15.0 m, B = 11.0 m, C = 11.0 m, and D = 27.0 m. Determine the (a) magnitude and (b) direction for the resultant that occurs when these vectors are added together. Specify the

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