Compute the quantities in Exercises 1-8 using the vectors 6 2 ·D·¤·B· A V = [3]₁ W = -1 X = 3 u= 2 3 -5

Q: 1 u=-----(1, 1, 1, 0), V 3 1 -- (-1,-1, 2, 0) W = V6 1 =(1,-1, 0, 0) V 2

A: Here we have to determine whether or not the following set of vectors { u, v, w } are both…

Q: C A

A: We use Triangle law

Q: Write the vector u=<2,-3,1> in the form v+w, where v is a vector parallel to the vector…

A:

Q: 3. Which vector is not equal to zero? a) ix (j×k) b) (ix j) × k c) (i × i) × j d) ix (ix j)

A:

Q: 14 (a) Find x. . Show your work. (b) State whether the components of uxvwill be positive, negative,…

A: Topic - vectors

Q: In Exercises 21-38, let u = 21 – 5j, v = -3i + 7j, and w = -i – 6j. Find each specified vector or…

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: Assuming a vector a(2,1,3) and a vector b(-1,2,2) Length vectors Calculate 2a-b and a + 3b.

A: In this question we will use basic of vector addition, subtraction and Multiplication.  First we…

Q: Compute the following, then sketch each resultant vector. u=(0, -7),v =(-8, 8) (a)u+v=  (b)u-v=…

A: Given vectors:u=(0,−7)v=(−8,8) (a)   u+v:u+v=(0,−7)+(−8,8)u+v=(0+(−8),−7+8)u+v=(−8,1) (b)…

Q: Find the values of x, y and z that satisfy the vector equation 1 3 ·A·B·0-0-0-0 x 3 +y -2 +2 1 = 1…

A: We want to find values of x, y and z which satisfy given equation.

Q: Find the vector proj, u. v = 3i - j+ 3k, u = 2i + 10j + 11k %3D 0,一+店x k 19 i+ 22 15 19 19

A: Given : v = 3i - j + 3k, u = 2i + 10j + 11k   To find the vector projv u.

Q: 2 -0-0-0-0 W = 3 u= 2 V = 1. u . u, v · u, and v.u u u 3 -5 6 X = -2 3

A: we need to use the formula for the dot product of two vectors, which is given by:   a.b = a₁b₁ +…

Q: (a) 3u7 u3 (b) (c) u2 (-2u5) (d) 2u2 : (-u5)

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Q: Find a unit vector in the direction of u and in the direction opposite that of u. u = (-24, –7) (a)…

A: Unit vectors

Q: 3. Determine whether the vectors u and v are orthogonal, parallel or neither. (show/explain your…

A: (a). Given ,  u = 2,3,-1 and v = -1,-1,-1 (b). Given , u = j + 6k and v = i - 2j -k

Q: Given the vector equation 1 -3 3 -8 1 -5 5 7 [⁰ 0 (a) Write the vector equation in the form Avec(x)…

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Q: Find a unit vector that is orthogonal to both i+j and i+k ?

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Q: 0) Any u unit vector and each (a, b) for the point, D_ƒ (a, b) = − D₁ƒ(a,b) True False

A: In this question, the concept of Directional derivatives is applied. According to the Definition of…

Q: Let a, b, and c be vectors. Is it a vector, scalar, or is in meaningless? 1) ( a X b ) + a.b 2) -2 +…

A: We will whether the part 1, 2 and 3 are a vector or a scalar or meaningless as following.

Q: Which of the following is true? Where A, B and C are none zero vectors Select one: O A. (B x C) =…

A: We have to check