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. uV= Find the length ofv. v = (Simplify your answer. Type an exact answer, using radicals as needed.) Find the length of u. Ju|= (Simplify your answer. Type an exact answer, using radicals as needed.) b. Find the cosine of the angle between v and u. cos 8= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) C. Find the scalar component ofu in the direction of v. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) d. Find the vector projection of u onto v. Enter your answer in each of the answer boxes.
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. uV= Find the length ofv. v = (Simplify your answer. Type an exact answer, using radicals as needed.) Find the length of u. Ju|= (Simplify your answer. Type an exact answer, using radicals as needed.) b. Find the cosine of the angle between v and u. cos 8= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) C. Find the scalar component ofu in the direction of v. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) d. Find the vector projection of u onto v. Enter your answer in each of the answer boxes.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 3E
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