33. Find the direction and magnitude of the vectors. a. A = (5.0 m) x + (-2.0 m) y, →>> b. B = (-2.0m) x + (5.0 m) y, and (c) A + B.

Q: Find a + b, 6a + 9b, lal, and la - bl. (Simplify your vectors completely.) a = (-6, 8), b = (6, -1)…

A: a=-6,8 ,b=6,-1

Q: 5. Determine whether the set of vectors are linearly de- pendent or independent. Explain results…

A:

Q: u = (1,2, 0), v = (-1,4, 1)

A:

Q: Let a = -2 and b = 3 (b) = the component of b in the direction of a . = (-5*14^0.5)/7 -2 be vectors.…

A:

Q: A, B, and C are 3 distinct points with non-zero position vectors a, b, and e respectively. a If a x…

A: Given three distinct points are A, B, C. with position vectors a, b, c respectively.…

Q: Consider the points P(5, −2, 3) and q(−3, 0, 2) a. Write vector |op| using unit vectors. b. Write…

A: Basics of VECTOR are used.

Q: 1 Y

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Q: Draw v = AB and the vector equal to v with the initial point at the origin. Find the component form…

A:

Q: The point t has coordinater (4.1), AB = |- || B² 1-5. Find the coordinater of 5 ance the column…

A: We have to solve given problems:

Q: Determine if i = (1,0.-4) and w=(9,3,1) are parallel vectors.

A: Use the vector product to show the given vectors are parallel.

Q: 6. Use the vectors to find the indicated quantity. a. Find 3u-v, u=(5, 7>, and v = (-5, 2> %3D b.…

A: Given that,  u = <5, 7> and v = <-5, 2> If x = <a, b> and y =<c, d>are two…

Q: Find the solution of sin² (x) – 4sin (x) – 1 = 0 for all angles between 0 and 2n.

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Consider the array of vectors in the figure below. +y G H. R K A L 1. A + B + C + D + Q + H + Í + J…

A: # We are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 4. If d and bare unit vectors and |a + 61= v3, determine (2d – 38)- (+2). %3D

A:

Q: =3. Let a = [2₁1,-1], 5o = [4₁-5, 3] and C-[-1,-2,5]. compute ax (b + c). Show full steps.

A: We have to solve given Questions.

Q: When - - [B] - [12] u= V then the vectors in Span{u, v} lie on a line through the origin. True or…

A:

Q: Find the component form of the vector.

A: The graph of the vector:To find: The component form of the vector.

Q: 19. Given the following vectors: A = 2i-3j+ 6k, B = 8i +2j - 3k and C = i-4j + k. Find * (A+B).C a.…

A:

Q: 3. For the vectors d = (2,11, -3) and 7 = (-7,0, –1), find proj, d.

A:

Q: 1 V₁ = 2 - Copyright Texas State University, 2 3 rights reserved. V₂ = University, 2023 1 1 V3 =…

A:

Q: 23. Find the angle between the vectors i = [-9,1, 3] and i = [0,2, – 5]. %3D

A:

Q: For the following vectors, Find A. uxvxw (cross-product) B. w.u.v (dot product) C. wxv…

A: Vectors,u=5i+3j-7kv=-4i+2j+7kw=3.5i-4j+6k

Q: 39. Given a = (3, -4) and 5 = (1, 2). Find the vector 2 a. a. (3,4) O b. (2,4) O c. (6,-8) O d.…

A: The given vector is, a⇀=3,-4

Q: 4. Given the following column vectors, a = (3) b = (5) 2 find 3a – 2b. ( ) Answer

A:

Q: You are given the following three vectors a = (9 -3 -1) T b = (2 0 2) T c = (-4 0 8) T Find the…

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Q: 2. An archer shoots an arrow from a tower to a distant target. Assume that the position of the a…

A: Given position of the arrow x(t), y(t)=50t, 18t-3t2+48 where 't' is in seconds. We know at the…

Q: 4. If d and | = v3, determine (27 – 38)- ( +28). 6 are unit vectors and

A:

Q: Find the equation of the line that passes through the point ( 8, 8, 2) and parallel to the vector .…

A: The vector equation of the line which is passing through the point (h, k, l) and parallel to the…

Q: List five vectors in Span {V₁, V₂}. Do not make a sketch. 6 - -8 HO 5 V2 7 - 9 0 II 5

A: Given vectors are: v1=65-9,       v2=-870 We have to list five vectors in Span{v1,v2}.