Find the following for the vectors v=6i +j and u = 9i + √3j. a. v u, vl. lul b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector proj,u a. v u= (Type an exact answer, using radicals as needed.) |v|= (Type an exact answer, using radicals as needed.) |u|= (Type an exact answer, using radicals as needed.) b. The cosine of the angle between v and is (Type an exact answer, using radicals as needed.) c. The scalar component of u in the direction of v is (Type an exact answer, using radicals as needed.) d. proj,u = i + Di (Type exact answers, using radicals as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 16E
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Find the following for the vectors v=6i + j and u = 9i+√3j.
a. v.u, v. ul
b. the cosine of the angle between v and u
c. the scalar component of u in the direction of v
d. the vector proj,u
a. v u=
(Type an exact answer, using radicals as needed.)
|v|=
(Type an exact answer, using radicals as needed.)
|u1=0
(Type an exact answer, using radicals as needed.)
b. The cosine of the angle between v and is
(Type an exact answer, using radicals as needed.)
c. The scalar component of u in the direction of v is
(Type an exact answer, using radicals as needed.)
d. proj,u =
i + Di
(Type exact answers, using radicals as needed.)
Transcribed Image Text:Find the following for the vectors v=6i + j and u = 9i+√3j. a. v.u, v. ul b. the cosine of the angle between v and u c. the scalar component of u in the direction of v d. the vector proj,u a. v u= (Type an exact answer, using radicals as needed.) |v|= (Type an exact answer, using radicals as needed.) |u1=0 (Type an exact answer, using radicals as needed.) b. The cosine of the angle between v and is (Type an exact answer, using radicals as needed.) c. The scalar component of u in the direction of v is (Type an exact answer, using radicals as needed.) d. proj,u = i + Di (Type exact answers, using radicals as needed.)
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