1. u= [4] [-] value(s) of k?? 2. if u= Question 4: Given that : [1] 2 Solution : and v= and v= are u and v orthogonal?? [4²] are orthogonal vectors. What is the

Q: 81. Given r = (-3, 4) and s = a. Find the product ||r|||s||. (9. – 12). b. Find r· s. c. Based on…

A: Given:r=-3,4 and s=9,-12Formula:u=u.u

Q: Find unit vectors that satisfy the given conditions: 1. The unit vector in the same direction as…

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Q: For what values of b are the vectors and orthogonal?

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Q: Let m, n, and p be vectors on R³. Suppose m = 2i – 3j + 4k, n = 3i + 2k – 3j, p = -5i – 2k + 4j i.…

A: We will use the dot product of the vectors and cross product of the vectors. Also the definition of…

Q: 6. Explain in words how a student would determine the magnitude of the vector P[2, 3, 1]. There is…

A: To determine the magnitude of a vector P[2, 3, 1], a student would follow a simple set of steps. 1.…

Q: For vectors ?⃗ = ⟨2, −3, −2⟩, ? = ⟨1, −4, 2⟩ Find the projection of vector ?⃗ onto the vector ?.

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Q: Given two points A(-1, 2, 3) and B(1, 1, 6). ] Find the vector AB. [i] Based on the vector you found…

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Q: Q8. Consider i, w E R² as below, where w is the reflection of across the x-axis. (Note: These…

A: Given that v→,w⇀∈ℝ2 be two vectors in such that w⇀ is the reflection of v⇀ across x axis.  Let us…

Q: 5) Write the analytical expression of the unit vector for F= 400 i + 700j - 400 k %3D

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Q: 5. The vectors i = [1,0,0], j = [0,1,0] and k = [0,0,1), are all perpendicular to each other.…

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Q: ve the following: 1. Find the magnitude and direction of the given vector from D(-5, -4) to E(8, -2)

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Q: 1. Which of the following is true about 2 equal vectors u and v in R? I. u and v have the same…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Suppose that u, v, and w are vectors such that = 3, = -2, = 5, llull Evaluate the following…

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Q: Find the vectors T, N, and B at the given point. 16 (t) = (2, 룰,t), (4,-1, -2) T= N = B = 481 9'9'9…

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Q: 4 Vi = 2 V2 -4 -22 ? -16 Which weights should be used for b = a1vị + a2V2 to obtain the vector b =…

A: given                                            v1=42, v2=-6-4 Also…

Q: Q1: If , r₂ and r₂ are three parallel vectors of the same magnitude Prove that ₁+₂+3 is equally…

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Q: Q1/ complete the following sentences with suitable answer in the blanks: 1. For any two vectors X, Y…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Given vectors 3 = (2, 1, 3) and w = (0, 1, – 1), answer the followings: (a) 7 . ở (b) ở × ở (c) ||27…

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Q: 1) The orthogonal vectors u and V of the following are a) u = (1,0,1) and v= (0,1,1) b) u (3,0,-1)…

A: solution:-(1) for orthogonal vector u·v=0(a)u·v=1,0,1·0,1,1=1×0+0×1+1×1=1  not…

Q: A) With either points A(2, 3) and C(-2, 11). Determines the components of the CA vector.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: -2 Let v be the vector 1 |. The vector of length 6 in the same direction as v is 2 Select one: 4 a.…

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Q: For the following, let u = (3, –6) and v = (2, 1) %3D a. Find u + 3v b. Find the angle between the…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: = 5 = [3, 6, 2] and ☎ = [0, 0, 8], find a unit vector perpendicular to both 5 and 2.

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