For the vectors u = (1,1,1,2) and v= (2,-1,-3,1), (a) Find the dot product v Number (b) Find the vector length || u ||. Enter the answer exactly, using sqrt() if necessary. Number (c) Find the angle between u and in radians. Enter your answer to 4 decimal places. (d) Find the exact distance between the vectors u and v, using sqrt() if necessary. Number

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 31E
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For the vectors u = (1,1,1, 2) and v = (2,-1, -3,1),
(a) Find the dot product u v
Number
(b) Find the vector length || ||. Enter the answer exactly, using sqrt() if necessary.
Number
(c) Find the angle between and in radians. Enter your answer to 4 decimal places.
(d) Find the exact distance between the vectors and v, using sqrt() if necessary.
Number
Transcribed Image Text:For the vectors u = (1,1,1, 2) and v = (2,-1, -3,1), (a) Find the dot product u v Number (b) Find the vector length || ||. Enter the answer exactly, using sqrt() if necessary. Number (c) Find the angle between and in radians. Enter your answer to 4 decimal places. (d) Find the exact distance between the vectors and v, using sqrt() if necessary. Number
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