Given vector a = 31 – 2j – yk and b= 3i- 2j + k. What is the value of y if a =b

Q: Q3:If the two vectors A= 3i +2j + 5k, and B= 2i - j+4k, they located in the x and y plane, find the…

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Given the two vectors A = -9i- 2j -7k and B = -3i- 4j +8k, Find th (e) Ax B (f) the angle between…

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Q: Given vectors v=3i-5j, and w=-2i+3j, calculate the following: A) 3v-2w B) ||v-w||

A: The given vectors are

Q: If å = v2i +j - k, what is the vector whose alignment a is in the opposite direction and its size…

A: Given a→=2i+j−k We have to find the vector whose alignment a→ is in the opposite direction and its…

Q: Given the points P(-3, 4) and Q(-1, 5), express the vector PQ in terms of i and j.

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Q: The vectors A 5i + 7j – 8k and B 3i + yj + zk are known to be parallel. Find y and 2 y = = Z

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Q: If A = 6i + 7j – 10k, B = – 4i + 5j + 6k, C = 10, and C is perpendicular to both A and B, write the…

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Q: PQRS is a parallelogram and X is on the side QR. If vector PQ=3i+j, and  vector XQ=2i+j. find PX.

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Q: Given the vector u = 2i + 6j, find the magnitude and angle in which the vector points (measured…

A: Given :u=-2i+6j

Q: Find cos(0) if 0 is the angle between the vectors u= 2i + 2j – k and v = 3i + 4k

A: Consider the two vectors. u=2i+2j-k and v=3i+4k It is given that θ is the angle between the vectors.…

Q: Given the vectors, ū = -3i+2j and = 4i – j, find 4ü-27. %3D (-20,10) (20,-10) (-20,-10) (20,10)

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Q: For what value of m, the vector 4i + 2j – 3k and mi - j+ 3k have same magnitude? Given the points A…

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Q: Given the vectors v=3i - 2j+5k and w=-i +4j+2k, find the following: a) 2v-w= b) V•W= ||w|| = c) 12 =…

A: v→=3i-2j+5k and w→=-i+4j+2k

Q: for what value of Ca) will the Vector ū = -41-8)4ak,ū =ei+4j-5k are parallel

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Q: For what value of m, the vector 4i + 2j – 3k and mi – j+ V3 k have same magnitude? Q.3

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Q: Use the given vectors v = 5i - 4j, w = -2i - j to find v.w and v.v

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Q: Given 2 non-zero vectors ū and v, calculate (4ü +3v)•(2ũ – v) and express the final answer in terms…

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Q: If a = 2i -j+2k and b =i+2j-2k, find two vectors c and d satisfying all the following conditions:…

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Q: Find cos(0) if 0 is the angle between the vectors u = 4i – 3k and v = 2i – 2j + k

A: Given,           u=4i+3k           v=2i-2j+k

Q: For what value of (a) will the vectors V=-4i-8j+ak, U=2i+4j-5k are parallel?

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Q: (3) For what value(s) of a will the vectors u = 2i + 4j-5k and v= -4i-8j + ak be parallel? V ا ) وہ…

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Q: Given the vectors u = -i-4j and w=-2i+5j, find 7u and u – w. | Write your answers in the form ai+bj.…

A: Given the vector u = -i - 4j And w = -2i + 5j Find 7u and u - w in the form of ai + bj.

Q: Q2: Find the angle between the two vectors A = 5i - j+ 2k and B = -3i + 2j + k

A: Angle between the vector u and v is θ=cos-1u.vu.v.

Q: For what value or values of a will the vectors u = 2i + 4j - 5k and v = -4i - 8j + ak be parallel?

A: Given,

Q: Suppose the vector t has magnitude 48 and makes an angle of 239° with the positive x-axis (measured…

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Q: The vectors A 6i + 4j – 8k and B = xi + 6j + zk are known to be parallel. Find x and z x = 9. -12

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Q: If a = 2i – j+2k and b =i+2j – 2k, find two vectors e and d satisfying all the following conditions:…

A: Let the required two vectors c and d be c=x1i+y1j+z1k and d=x2i+y2j+z2k. Now as per the given data,…

Q: Given the vectors u=(5,8) and w =(-4a,5a+5), where a is a constant. If it is known that u' +w°…

A: u→=5,8w→=(-4a,5a+5)

Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k ; 11+5/-6k dw (C): If w = tan x and…

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Q: Find a set of vectors {u, v} in Rª that spans the solution set of the equations { y + 4z 0, - 5w +…

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Q: Given the points A: (-6,6,-5) and B: (3,-1,0), find the vector i AB i = <

A: Since, we have been given the points A (-6,-6, 5) and B(3,-1, 0).Our Aim is to find the vector u⇀…

Q: Given the vectors A = 3i – 5j + 2k and B = 7i + j – 2k. Find the vector projection of A onto B.

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Q: Given the vectors s = 6i-4j and t=-i+2j, find s t. S.t = i j

A: topic - dot product of vectors

Q: For what value of m, the vector 4i + 2j – 3k and mi – j + V3 k have same magnitude?

A: Given Data: Vector 1: x1i+x2j+x3k=4i+2j-3k Vector 2: y1i+y2j+y3k=mi-j+3k The magnitude of vector 1…

Q: If u and v are orthogonal, what is the magnitude of u × v?

A: We define the cross product of any two vectors as :                            |u×v|=|u||v|sinθ…

Q: Given initial point  P1 = (2, 5) and terminal point P2 = (−1, 6),write the vector v in terms of i…

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Q: Given the vectors v = 3i-8j and w = 6i-j, find 5v and v+w.

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Q: The unit vector in the direction of E=6i+8j is 0.3i+4j F

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Q: Given the vectors v = 3i-8j and w =6i-j, find v W.

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Q: Suppose that A = 2i + j, B =i- 4j + k, and Ĉ = j+k. What is the magnitude of the vector 2Ã –B + Č?…

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Q: Given the following vectors: di = 3î – 2j, d, = -5î + 2j – k What is (di + dz) · (dị × (4dz))?

A: d1 =3i-2j+0k d2 =-5i+2j-k

Q: Find the angles that vector D 2.5 - 8.5 + k) m makes with the x-, y-, and z- axes.

A: Follow the procedure given below.

Q: Use the given vectors v = 5i - 4j, w = -2i - j to find v . w and v . v.

A: Consider the vectors  v=5i−4jw=−2i−j To find:  v.wv.v

Q: Given the vectors v = 4i + 2j + k and w = 3i – 4j + k. Find the angle between v and w .

A: We know, the angle between two vectors v→ and w→ is θ = cos-1v→·w→|v→| |w→|

Q: For v= 3i+j and w= 8i-6j , find. a) 4v-2w b) the unit vector in the same direction as w

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Q: If a vector V has horizontal and vertical vector components with magnitudes  |Vx| = 9.8 and  |Vy| =…

A: Given:

Q: If a = 2i – j+k and b = 2j – k, for which value of t are the vectors a + tb and a orthogonal? 6 2 -3

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Q: If a = 3i-j-4k, b - 2i + 4j-3k and c i+2j-k. Find unit vector parallel to 3 a -2 b +4 c. Q.1

A: Comment:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: b) For what values of A, the vectors 2i -j+ 2k and 3i + 22 j are perpendicular?

A: If we have two vectors ai^+bj^+ck^  and a'i^+b'j^+c'k^ , then, these vectors are said to be…

Q: For what values of y are the vectors yi – 2j + 3y k and 6i +j+ 3y k orthogonal.

A: To find the values of y for which the vectors yi-2j+3y k and 6i+j+3y k are orthogonal.