Compute the following, then sketch each resultant vector. u=(0, -7),v =(-8, 8) (a)u+v=  (b)u-v=  (c)2u-3v=  (d)v+4u=

Q: Write the vector a=i−4j as the sum of a vector parallel to b=j+k, and a vector perpendicular to b.

A: Express vector a as sum of two vectors one is parallel to vector b and one is perpendicular to b.…

Q: <(3).PNG Add to

A: Solution:-

Q: The vector v= (6,-4, 0) starts at the point P = (-2,5, -1). At what point does the vector end?…

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Q: 2 Write the vector x= as a linear combination of the vectors -1 1) u=0 |, v=| 1 w= 1 1 N O H O O

A: Consider x = au+bv+cw then 20-1 = a100+b110+c11120-1 = a+b+cb+cc On comparing the coefficients , we…

Q: Write the vector (2, –3) as a linear combination of (2, –1), (–1,2) Select one: O 2/5(2, –1) +…

A: We need to find the linear combination of the given vector. NOTE - all the options given are wrong.…

Q: a.A = 6-j8, B=8-j6 bA=6+j8, B=8-j6 c. A = 6-j8, B=-8+j6 C.

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Q: Given vectors a = (-4,3) and b = (2,9), what are the components of vector -a – b? (а) (-6, —6)…

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Q: 6. Write DÉ as a linear combination of the vectors i and j a) D (9,-6) E (-7, 2) first write in…

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Q: Find the unit vector of A=3ax+2ay-3az

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Q: a. Write the vector (23,-12, -19) as a linear combination of a₁ = (3, -2, -1), a2 (2, -3, -1) and ã3…

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Q: The initial and terminal points of a vector v are given. Terminal Initial Point Point (2/²) (14) (a)…

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Q: (€) Let a = and b = be two vectors. What is al2|b|? - |a · b|? ?

A: Given vectors are, a=2-10  and b=-111 The modulus of the given vectors will be, a=22+-12+0…

Q: Sketch a graph of each vector. 11) b=(-2V2,-1) 12) RS where R= (-6, 1) S= (-8,-10)

A: Solution (11.)

Q: = (2, -1) and v= (-2,3). Sketch u and v. Then sketch (show how the vectors are adding up) and…

A: Given, u=2,-1,v=-2,3

Q: For any vector v in ℝ3, explain why v × v = 0.

A: Given v∈R3 v×v=0

Q: Determine the x, y, and z components of the unit vector in the same direction as [5,-2,-6].…

A: NOTE: Refresh your page if you can't see any equations. . the given vector is  find the magnitude…

Q: Express the vector x as a linear combination of the u's. -17 U₁ = 0, U₂ = 5, U3 = 6, X = -43 -14…

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Q: A= 2i+3j+4k, B=i-2j+3k

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Q: Determine if u = (0,3, -4) and v = (1, -8, -6) are orthogonal, parallel or neither.

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Q: TRUE or FALSE: Vectors u = (-4, 1, -2) and = 1 7 1 1

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Q: Find the unit vector with the opposite direction of a⃗=(8,−10,3,−1,9,3)

A: We have to find the unit vector with the opposite direction of a→=8,-10,3,-1,9,3.

Q: Express the vector v =-1 as a linear combination of the vectors -3 0,v2 4 and v3 -4 , if possible.…

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Q: Find a unit vector u in the direction opposite of (-1,-9, –7). | u =

A: First we find the vector of the same magnitude in the opposite direction of the given vector and…

Q: 1. Let x = i +4j + 2k and y = i - 3j - k. In this question, write all vectors in i, j, k notation.…

A: Let (a) To find .(b) To find .(c) To find .(d) To find .

Q: Solve for the vector x in terms of the vectors a and b. (If needed, use BOLD vector form on calcPad…

A: Let's solve vector x in terms of a and b.

Q: (22,20)

A: We have to find the solutions