how about c) and d). how to solve them Given the vectors p = [-2,3,5] and a= [4,-1,4], finda) p-ab) the angle between p and ac) the projection (vector) of pontod) xa (in algebraic form)

Given vectors are p→=-2, 3, 5 and q→=4, -1, 4 The value of p→·q→, the angle between p→ and q→ and…

Answered: Given the vectors p = [-2,3,5] and a =…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section: Chapter Questions

Problem 4DE

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Sketch the vectors 7+wand - W. (2, 3, -6) and w (-1,1,1) and draw -7,
B) Use vectors to check whether the points A (1,-1,0), B (2,1,-1), and C (-1,1,2), are vertices of a right triangle or not then find the area of the triangle.
if vector AB=i+7j-4k and B is the point (9,3,5) find A
Question 1 (1 point) If p = [5,-3] and q.= [1,4], find | p - 5q1 a) 529 Ob) 23 Oc) [4,-27] d) [0,-23] Question 2 (1 point) If s = [3, 2, 9] and t = [-4, 7, 2], are two vector: 2t. a) [17,-8, 23]
a) Consider the point R(1, -3,5) and the vector 3. If = SR, find the point S. Draw a fully labeled sketch depicting the situation. b) Let a = (6,-9, 12), 5= (2, -3, 1), = (-4, 6,-8). Determine which of these vectors are parallel to each other. Justify your answer..
5) A triangle is formed by A = (3,3,1), B = (0, 1, 5), and C = (1, -4,-1). a. What are the angles of this triangle? b. Find a vector that is orthogonal to the plane this triangle represents.
Q.1) Choose the correct answer for the following: (choose 5 only) 1- The vector from point P=(2,2,1) to point Q=(6,3,2) is: c) PQ=(-4, 4, -1) a) PQ=(-4,-1,-1) b) PQ=(4, 1, 1) 2- The magnitude (length) of A (1, 0, -2) a) 5 b) 3 c) √3 d) PQ=(8, 5, 3) d) √5
How long is the shadow cast by a 540-foot tower when the sun's rays follow the vector [6,10,-27]? Also, at what angle do the rays of the sun strike the ground?
8) Given the vectors (5, 5) & (5, -5); both vectors start at the origin, find "O", the angle between the (2) vectors. Page 2 4 - Q +
part ii)
Find the indicated vector. 3) Let a = 3i, b = i + j. Find 5a + b. A) 11i + j B) i + 16j 4) Let a =(3, 8), b = (-5,9). Find a + b. A) (12,3) B) (-2, 17) 5) Let a = (-5, -1), b = (-3,6). Find b-a. A) (4,9) B) (-8,5) 6) Let a (8, -7). Find 9a. = A) (72, 63) B) (-72,63) C) 16i + 5j C) (8,-1) C) (11, -2) C) (72,-63) D) 16i + j D) (11,4) D) (2,7) D) (-72,-63)
Assume that the coordinates of the points P, Q, R, S, and O are as follows: P(-3, 2) Q(6, 4) R(4, 3) S(5, 9) O(0, 0) Draw the indicated vector and compute its magnitude. Upload your handwritten answer on Canvas. PQ

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Given the vectors p = [-2,3,5] and a = [4,-1,4], find a) p.a b) the angle between p and a c) the projection (vector) of ponto q d) xa (in algebraic form)