Consider the vectors u = - 4j+2k and v= -2i+j+ 6k 1. Find the angle between u and v. . Compute proju and scalu. =. Compute projuv and scalv. . The angle between u and visº. Type an integer or decimal rounded to two decimal places as needed.) . Compute proju. -roj₁u = (i+j+ k Type integers or simplified fractions. Type exact answers, using radicals as needed.) Compute scalu. calvu = Type an exact answer, using radicals as needed.) =. Compute projuv. -rojuv=i+j+k Type integers or simplified fractions. Type exact answers, using radicals as needed.) Compute scaluv. calv= Type an exact answer, 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 46E
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Consider the vectors u = - 4j+2k and v= -2i+j+ 6k
a. Find the angle between u and v.
b. Compute proj, u and scalu.
c. Compute projv and scalv.
a. The angle between u and v is
(Type an integer or decimal rounded to two decimal places as needed.)
b. Compute projvu.
proj,u=i+j+ k
(Type integers or simplified fractions. Type exact answers, using radicals as needed.)
Compute scalu.
scalu =
(Type an exact answer, using radicals as needed.)
c. Compute projuv.
projv=i+j+ k
(Type integers or simplified fractions. Type exact answers, using radicals as needed.)
Compute scalv.
scalv=
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:Consider the vectors u = - 4j+2k and v= -2i+j+ 6k a. Find the angle between u and v. b. Compute proj, u and scalu. c. Compute projv and scalv. a. The angle between u and v is (Type an integer or decimal rounded to two decimal places as needed.) b. Compute projvu. proj,u=i+j+ k (Type integers or simplified fractions. Type exact answers, using radicals as needed.) Compute scalu. scalu = (Type an exact answer, using radicals as needed.) c. Compute projuv. projv=i+j+ k (Type integers or simplified fractions. Type exact answers, using radicals as needed.) Compute scalv. scalv= (Type an exact answer, using radicals as needed.)
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