Find the magnitude and direction angle of the resultant of each pair of vectors. t = (17, 12) u = (-5, 12)

Q: Find the coordinate vector |x relative to the given base B={b, ,b2} -3 5

A: To the coordinate vector xβ=x1x2 such that…

Q: Write the given vector in terms of i and j. ? =  (0, −10)

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Q: b a

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Q: Find the component form of the vector.The unit vector that makes an angle u = -3pi/4 with the…

A: Given: The unit vector that makes an angle  To find: The component form of the unit vector.

Q: If A = 4a, - 6a, + a, and B = 2a, + 5a,, find: (a) A B +2|B (b) a unit vector perpendicular to both…

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Q: The point t has coordinater (4.1), AB = |- || B² 1-5. Find the coordinater of 5 ance the column…

A: We have to solve given problems:

Q: Given initial point P1 = (-2, 3) and terminal point P2 = (6, 5), write the vector v in terms of i…

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Q: What are the values of h for which the vectors ar linearly dependent? HEB -4 7. h

A: Given that:  Let u=2-41, v=-67-3 and w=8h4

Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?…

A: Given: v=6,9 and point in the same direction -24,-27

Q: Find the magnitude of the given vector. (2, 6, –2)

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Q: Let A = (4,2) and B = (-1,4). Find the magnitude and direction angle of the vector B-A.

A: The given vectors are,

Q: write the given vector in terms of i and j. u= (-8,5).

A: It is given that, the vector u is, (–8, 5).Assume that, the symbol i represents the horizontal…

Q: In Problem ,find the unit vector in the same direction as v. v =5i + 12j

A: Given vector is: v = 5i + 12j We have to find the unit vector in the same direction as v.

Q: Find the magnitude and direction angle of the resultant vector. Given |f|= 12, 66° Find-8f

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Q: Obthe resulting parallelogram from the following two vectors that form non-parallel sides A = 3 + 2…

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Q: .If A = 2a, + a, - 3a, and B = 4ax + 2a, – 3a, are vectors, find (a) A· B (b) Á xB (c) Angle between…

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Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction? (12,…

A: Solution:Given     v=(6,9)To find the vector are parellel to v and point in the same direction.

Q: Given the points A: (-4,6,2) and B: (-1,5,-3), find the vector ū AB

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Q: Write the given vector in terms of i and j. u- (0, -9)

A: given vectoru=(0,-9)

Q: Find the magnitude and direction angle of the given vector. A. u=(0, 7) B. u=(radical 3,3) C.…

A: Introduction: A two-dimensional vector has magnitude and direction angle. The magnitude of a vector…

Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?…

A: Given: The vectors v=6,9, To determine: Whether the vector -24,-36 is parallel to given vector or…

Q: Find the magnitude and direction angle of the vector. (-3,-1)

A: Magnitude:

Q: What is the component form for a vector with a magnitude of 21 and a direction of 321°? A (14.18,…

A: We have to solve given Questions.

Q: Find 2u, -3v, u+v, and 3u-4v for the given vectors u and v simple

A: Given vectors are u=<3,2>and <9,1> Now, we will find the given value.…

Q: Which of the following vectors represents - 2u + v?

A: Given,

Q: Q1.If à = 2a, + 2a, – a, and B = 3ax + 2a, – 6a, are vectors, find (a) Ả · B (b) Ả× B (c) Angle…

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Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

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Q: Given v=[2,-9] and w = [7,-8], what is 2w-v written as a linear combination of unit vectors?  please…

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Q: For what values of a and b are the vectors ; equal?

A: a-b2,  4a+b

Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). Adding the vectors, find 2AB+3AC.

A: To find 2AB +3 AC

Q: Which of the following pairs of vectors are perpendicular? and A. and В. and OC. None. D.

A: Concept: If two vector are perpendicular then their Dot Product will be zero.

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: To determine the value of b.

Q: For the pair of vectors, find 3U- 4V. U = (3, 2), V= (-4, 3)

A: We have to find 3U - 4V

Q: Given the vectors shown, what is the component form of vector b + c? a = (13,15) b = -2a C = (а)…

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Q: Consider V=(6, -3) & W=(-4, 8) Find angle between the two vectors.

A: Recall: Angle between two vectors:     Let a→ and b→ be two vectors then,             cosθ=…

Q: If a- b = 30, ||a|| = 5, and the angle between the vectors a and b is 30°, what is the magnitude of…

A: Given that a→·b→=30, ||a→||=5 and angle between the vector a→ and b→ is 30°.

Q: Which of the following vectors represents b in component form? a. (-3, –7) b. (-3, 2) c. (7,3) d.…

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Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: To determine the value of b for which the below vectors are orthogonal. −27,b,2, b,b2,b

Q: Write the given vector in terms of i and j. ? = (1, 3)

A: (a,b) is written as : ai+bj

Q: The angle that the x-axis make with the plane containing the following two vectors is A = 4â – 3 B =…

A: To find the angle

Q: Find the magnitude and direction angle of the given vector A. u=(-6,3) B. u=(-8,0)

A: Part (a): Given,

Q: Given the two 3-D vectors a=[-3, 4, -6] and b=[-1, 2, -1], find the dot product and angle (degrees)…

A: Consider the given 3D vectors.

Q: Find two unit vectors parallel to each of the following vectors: a) [-8, 2] b) [9, -3, -5] c) 5ï -…

A: c Given vector is  a→=5i→-7j→+2k→

Q: For the vector, find 1/2(V),−V, and 4V V= (-5,9)

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Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: It is known that any two vectors are orthogonal if their dot product is zero. The given vectors are…

Q: Find the component form of the specified vector. The vector PQ , where P = (3, 3) and Q = (-6, -4) O…

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Q: Find the component form of the vector PQ, where P= (3,3) and Q = (5, - 8). The component form of PQ…

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Q: Find the component form of the vector v  if ||v||= 5 and when drawn in the standard position v lies…

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