# 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

1,283 results
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

2. ## Math

Find all vectors v in 2 dimensions having ||v ||=5 where the i -component of v is 3i vectors:

3. ## Physics

Three vectors are shown in the figure. Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. Give the resultant in terms of (a) magnitude and (b) the angle within the positive x axis.

4. ## Calculus

Given vectors u= (1,-1,3) and v= (-4,5,3) find an ordered triple that represents vectors 3u-2v. a.(16,1,-7) b.(11,-13,3) c.(10,-12,1) d.(7,-7,16) I don't want you to straight up give me the answer. I need someone to teach me how to solve this problem. I am

5. ## Calculus and Vectors

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

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

A parallelogram is formed by R^3 by the vectors PA=(3,2,-3) and PB=(4,1,5). The point P=(0,2,3). a) what are the location of the vertices? b) what are the vectors representing the diagonals? c) what are the length of the diagonals?

10. ## Digital art

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 A

11. ## mathematics

given vectors u=-9i+8j and v=7i+5j find 2u-6v in terms of unit vectors i and j

12. ## Pre-calculus

An expedition walks 4 kilometers from camp on a bearing of 30 degrees, then turns and walks 10 km on a bearing of 160 degrees. Find the magnitude of the new location relative to the beginning location using vectors. -> if you can, can you possibly show how

13. ## Physics

The sum & difference of two non-zero vectors Ä & B are equal in magnitude.what can you conclude about these vectors?why?

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

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

two vectors are defined as a=2i+xj and b=i-4j. find value of x if a) the vectors are parallel b) the vectors are perpendicular

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.

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

two vectors are defined as a=2i+xj and b=i-4j. find value of x if a) the vectors are parallel b) the vectors are perpendicular

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.

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

How does the resultant of two vectors change as the angle between the two vectors increase?

85. ## physics

The vectors sum of two vectors of magnitude 10units and 15units can never be

86. ## Physics

How does the resultant of two vectors change as the angle between the two vectors increase?

87. ## vectors

ok theres a graph. its like this. basically theres a ray coming from the origin going up and left diagonally at about a 30 degree angle. the question says "for the following vectors draw the component vectors along the x and y axis". what do i do?!

88. ## physics

Find the vectors.sum of ihe three vectors A=-3i-2j+7k, B=i+3j+k, C=-k

89. ## CALCULUS!!!!!

Given the vectors a = (1, 3, 4) and b = (4, 5, -4), what is the angle between the two given vectors to the nearest degree?

90. ## physics only solve now

the greatest and least resultant of vectors are 21 N and 7 N respectively.find the two vectors

91. ## physics

Consider the directions of the velocity and the acceleration vectors of an object in uniform circular motion. A. Both vectors point away from the center. B. The velocity points along the tangent, and the acceleration is zero, since the speed is constant.

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

A student accurately uses the method for combining vectors. The two vectors she combines have magnitudes of 55 and 25 units. The answer that she gets is either 85, 20, or 55. Pick the correct answer, and explain.

96. ## maths

Let V be the set of vectors (2x-3y, x+2y, -y, 4x) with x,y elements of 2 dimensional space. Addition and scalar multiplication are defined in the same way as on vectors. Prove that V is a vector space. Also, point out a basis of it.

97. ## Physics

The maximum and minimum magnitudes of the resultant of two given vectors are 17N and 7N respectively. If two vectors are at right angles to each other, then find the magnitude of their resultant?

98. ## Physics

If the vectors A and B are such that |A+B|=|A-B, then find the angle between vectors A and B?

99. ## Physics

Two horizontal vectors, 21 units North and 20 units East, are combined with a 10-unit vector vertically upwards. Find the angle between the resultant of the three vectors and the vertical one.

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