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Given the vectors v and u, answer a. through d. below. v = 12i - 9k u=i+j+k a. Find the dot product of v and u. u•v= Find the length of v. |v| =[ (Type an exact answer, using radicals as needed.) Find the length of u. lu| = (Type an exact answer, using radicals as needed.) b. Find the cosine of the angle between v and u. cos 0 = (Type an exact answer, using radicals as needed. c. Find the scalar component of u in the direction of v. | (Type an exact answer, using radicals as needed.) d. Find the vector projection of u onto v. projy u= (Type your answer in terms of i, j, and k.)

Given the vectors v and u, answer a. through d. below. v = 12i - 9k u=i+j+k a. Find the dot product of v and u. u•v= Find the length of v. |v| =[ (Type an exact answer, using radicals as needed.) Find the length of u. lu| = (Type an exact answer, using radicals as needed.) b. Find the cosine of the angle between v and u. cos 0 = (Type an exact answer, using radicals as needed. c. Find the scalar component of u in the direction of v. | (Type an exact answer, using radicals as needed.) d. Find the vector projection of u onto v. projy u= (Type your answer in terms of i, j, and k.)

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section7.1: The Law Of Sines
Problem 52PS: Gina is standing near a building and notices that the angle of elevation to the top of the building...
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Given the vectors v and u, answer a. through d. below. v = 12i - 9k u=i+j+k a. Find the dot product of v and u. u•v = Find the length of v. (Type an exact answer, using radicals as needed.) Find the length of u. Ju| =U (Type an exact answer, using radicals as needed.) b. Find the cosine of the angle between v and u. cos 0 = (Type an exact answer, using radicals as needed.) c. Find the scalar component of u in the direction of v. (Type an exact answer, using radicals as needed.) d. Find the vector projection of u onto v. proj, u= (Type your answer in terms of i, j, and k.)
Transcribed Image Text:Given the vectors v and u, answer a. through d. below. v = 12i - 9k u=i+j+k a. Find the dot product of v and u. u•v = Find the length of v. (Type an exact answer, using radicals as needed.) Find the length of u. Ju| =U (Type an exact answer, using radicals as needed.) b. Find the cosine of the angle between v and u. cos 0 = (Type an exact answer, using radicals as needed.) c. Find the scalar component of u in the direction of v. (Type an exact answer, using radicals as needed.) d. Find the vector projection of u onto v. proj, u= (Type your answer in terms of i, j, and k.)
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