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.) (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. projvu = (i+₁ (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
icon
Related questions
Question
Find the following for the vectors v=6i + j and u = 9i+√3j.
a. vou, 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. vou, 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.)
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning