Given the vectors v and u, answer a. through d. below. v= 10i + 11j – 2k u= 7i + 24j ..... a. Find the dot product of v and u. u•v= 334 Find the length of v. |v = 15 (Simplify your answer. Type an exact answer, using radicals as needed.) Find the length of u. Ju| = 25 (Simplify your answer. Type an exact answer, using radicals as needed.) b. Find the cosine of the angle between v and u. 334 cos ) = 375 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) c. Find the scalar component of u in the direction of v. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Given the vectors v and u, answer a. through d. below. v= 10i + 11j – 2k u= 7i + 24j ..... a. Find the dot product of v and u. u•v= 334 Find the length of v. |v = 15 (Simplify your answer. Type an exact answer, using radicals as needed.) Find the length of u. Ju| = 25 (Simplify your answer. Type an exact answer, using radicals as needed.) b. Find the cosine of the angle between v and u. 334 cos ) = 375 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) c. Find the scalar component of u in the direction of v. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 2E
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