For the following vectors: a) Find angles between all possible pairs and determine orthogonality. b) Find distances (d3, d₂, d. dcos) between all possible pairs. --0---0---- = a = =

Q: For the given vectors: å = (-2,-3), = (1,-2), č = (2,3), find: (a) 3ã – 5 + 2č (b) angle between the…

A: Vector: A quantity that has magnitude, as well as direction, is called a vector. The magnitude of a…

Q: Vector A is 35 m long and makes an angle of 60° clockwise from the positive Y-axis. Vector B is 55m…

A: We have given a vector A of magnitude 35 m and makes angle 60∘ from the positive y-axis i.e. 30∘…

Q: Find a unit vector in the same direction as v= (28,-21).

A: A unit vector in the direction of (a, b)

Q: Find values of a and b, for which the following vectors are parallel: (8, a + b, 6), v = (4, 3, 2a —…

A: Given:   u = ⟨ 8 , a+b , 6 ⟩     v = ⟨ 4 , 3 , 2a - b ⟩

Q: Two vectors are considered equivalent (equal) vectors if they and

A: Every vector quantity has dimension as well as mangnitude.

Q: For the given vectors: å = (-2,-3), 5 = (1,–2), 7 = (0,3), find: (a) 2å – 35 + ở (b) angle between…

A: Given the vectors a,b and c. The solution to the given questions are as follows.

Q: Find the angle between the vectors u = (-3,1,–2) and v = (-7,-5, 2) %3D

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Q: Given two vectors P=a,-a, Q-2а, -а, ta, R=2a,+3a,+a, Determine: (a). (P+Q)x(P-Q) (b). Q.RxP (c)…

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Q: For the given vectors a and b, find the cross product a x b. (2, 0, -3), b = (2, 1, 0) a x b = %3D

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Q: Let u= and v=. Give two vectors that are perpendicular to both u and v.

A: Consider the vectors

Q: ulate the angle between the two vectors i +2j+ 3k and 3i - 2j+ k er your answer in the box below,…

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Q: For the vectors u= (-8,0,3) and v= (1,3,-3), calculate proj,u and scalvu.

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Q: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

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Q: u = (7,2,-5) and v = (9,-1,-6).

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Q: Find the angle between the vectors a =i -j+k and b=i+j-k. (Write your answer in form of decimal and…

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Q: Find a unit vector which is perpendicular to both đ = (1, 1, 0) and b = (-2, 3, 0) Answer:

A:

Q: how is C equal to the difference of vectors A and B?

A: Dear user, Please read the question. We need to express Vector A in terms of sum of  B and C.

Q: For the vectors u = (- 1,3) and v= (-4,2), calculate proj,u and scal,u. proj, u = D

A: Vector and scalar projection