7. Compute the angle between i+k and - k.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 31E
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7. Compute the angle between i+k and - k.
8. Give a unit vector
(a) In the same direction as T = 27+37.
(b) Perpendicular to v.
9. A plane has equation
5x 2y + 7.
%3D
(a) Find a value of A making the vector Ai+j+0.5k normal to the plane.
(b) Find a value of a so that the point (a + 1, a, a – 1) lies on the plane.
10. Find angle BAC if A = (2, 2, 2), B = (4,2, 1), and C = (2, 3, 1).
11. Given = 37+43 and the force vector F = 4i+3, find:
(a) The component of F parallel to u.
(b) The component of F perpendicular to ū.
(c) The work W done by the force F through displacement U.
Transcribed Image Text:7. Compute the angle between i+k and - k. 8. Give a unit vector (a) In the same direction as T = 27+37. (b) Perpendicular to v. 9. A plane has equation 5x 2y + 7. %3D (a) Find a value of A making the vector Ai+j+0.5k normal to the plane. (b) Find a value of a so that the point (a + 1, a, a – 1) lies on the plane. 10. Find angle BAC if A = (2, 2, 2), B = (4,2, 1), and C = (2, 3, 1). 11. Given = 37+43 and the force vector F = 4i+3, find: (a) The component of F parallel to u. (b) The component of F perpendicular to ū. (c) The work W done by the force F through displacement U.
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