Given the vectors v and u, answer a. through d. below. v= 10i + 2j – 11k u=7i+24j a. Find the dot product of v and u. u v= Find the length of v v = (Simplify your answer. Type an exact answer, using radicals as needed.) Find the length of u. u| = (Simplify your answer. Type an exact answer, using radicals as needed.) b. Find the cosine of the angle between v and u. cos 0 = (Simplify your answer, including any radicals. Use integers 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.) d. Find the vector projection of u onto v. proj, u= (Type your answer in terms of i, j, and k. Use integers or fractions for any numbers in the expression. Do not factor.)
Given the vectors v and u, answer a. through d. below. v= 10i + 2j – 11k u=7i+24j a. Find the dot product of v and u. u v= Find the length of v v = (Simplify your answer. Type an exact answer, using radicals as needed.) Find the length of u. u| = (Simplify your answer. Type an exact answer, using radicals as needed.) b. Find the cosine of the angle between v and u. cos 0 = (Simplify your answer, including any radicals. Use integers 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.) d. Find the vector projection of u onto v. proj, u= (Type your answer in terms of i, j, and k. Use integers or fractions for any numbers in the expression. Do not factor.)
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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please answer fast
![Given the vectors v and u, answer a. through d. below.
v= 10i + 2j – 11k u=7i+24j
a. Find the dot product of v and u.
u V=
Find the length of v
v = (Simplify your answer. Type an exact answer, using radicals as needed.)
Find the length of u.
u| = (Simplify your answer. Type an exact answer, using radicals as needed.)
b. Find the cosine of the angle between v and u.
cos 0 =
(Simplify your answer, including any radicals. Use integers
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.)
d. Find the vector projection of u onto v.
proj, u=
(Type your answer in terms of i, j, and k. Use integers or fractions for any numbers in the expression. Do not factor.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f2d1f2d-0262-4b78-a47c-868db9dcdb28%2Fa80b9fd3-4b08-4d15-a2b3-ca5682159d0b%2Frve5t3k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the vectors v and u, answer a. through d. below.
v= 10i + 2j – 11k u=7i+24j
a. Find the dot product of v and u.
u V=
Find the length of v
v = (Simplify your answer. Type an exact answer, using radicals as needed.)
Find the length of u.
u| = (Simplify your answer. Type an exact answer, using radicals as needed.)
b. Find the cosine of the angle between v and u.
cos 0 =
(Simplify your answer, including any radicals. Use integers
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.)
d. Find the vector projection of u onto v.
proj, u=
(Type your answer in terms of i, j, and k. Use integers or fractions for any numbers in the expression. Do not factor.)
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