) If m = 2i+2j-k and n = 31-6j+2k, find: a) m ·n and b) the angle between m and n. c) the component of vector m in the direction of vector n.

Q: Specify the unit vectors a = 2i + 3j-k and b = 3i + 4j.

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Q: 3) The lines I and m have vector equations r = (3i + 6j + k) + s(2i + 3j - k) and a) Determine…

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Q: 21. Given F₁ = 3î - 2ĵ+ 4k and F₂ = 5j + k, find: a. Dot product, F₁ F₂ = b. Dot product, F₂ · F₁ =…

A: As per our guidelines we are suppose to solve only first three subparts if the multiple parts are…

Q: li) Find the angle between the vectors p i--k and q 21 +j+2k. Iv) Find the unit vector perpendicular…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: If la| = v2, la + b| = v6 and la – b| = v2, find the angle between the two vectors å and b.

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Q: 1. Let = =(3, 2, 1) and 5 = (-4,3₁-1) e) Evaluate (3a+46) (3a - 4b). f) Find the angle between a and…

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Q: For the pair of vectors u and v, find the following: u = (-4,4,7), v = (2, -6,3) a. The angle (in…

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Q: The position vector of points A, B and C is OA=i+mj+2k,OB =-i+2j- OC = 2i +nj+3k where O is origin,…

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Q: 3. In each case, A) Find the x and y components of vector A: a) A = 5.01 - 6.3), b) A = 11.2) – 9.9,…

A: Answer  A)  Answer  a)      A→= 5.0 i - 6.3 j                          x componant =5.0…

Q: Find the angle between u = i - 2j - 2k and v = 6i + 3j + 2k.

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Q: Given vector b = −2i - 4j + 8k and c = Bi+j-2k. c 1) Find the value of ß if vector b and care…

A: we need to find the value of β and the unit vector c^ in the opposite direction of c.

Q: 4. Find the angle between each pair of vectors. Round to two decimal places as necessary. a) (V3,…

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Q: 22. Given vectors C = 5î - 2ĵ and D = 3î + 4ĵ, find: a. the projection of vector Conto the x-axis…

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Q: 1. For two vectors: B=6â, +2â, -4â, A=4â, -10â, +5â a) Find the angle between these vectors. b)…

A: Given two vector  We have to find the angle between the two vectors.

Q: a) Find Ivl if v = -7i - 6j. Give exact value. b) Graph the vector v in the coordinate plane.

A: Solve the following

Q: 2a.) Suppose u, w are two vectors in R7 satisfying uxu 4, wxw 16, uXw = 8, What is the cosine of the…

A: We are given that : u→.u→=4⇒u→u→cos 0=4⇒u→2=4⇒u→=2 w→.w→=16⇒w→w→cos 0=16⇒w→2=16⇒w→=4 Now, Let θ be…

Q: Determine the angle between the vectors: x 3i + -3j + -7k and y = 12i + 3j +11k

A: x = 3i -3j -7k  y = 12i +3j +11k

Q: 4) If p = 6i+7j-2k and q = 31-j+4k, find: a) p x q b) the sine of the angle between vector p & q. c)…

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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…