Let vectors \bar{A} =(2,1,-4), \bar{B} =(-3,0,1), \text{ and } \bar{C} =(-1,-1,2) Calculate the following: A)\bar{A} \cdot \bar{B}? E)Which of the fol

Amari Flowers 2021-06-03 Answered
Let vectors A¯=(2,1,4),B¯=(3,0,1), and C¯=(1,1,2)
Calculate the following:
A)A¯B¯?
E)Which of the following can be computed?
A¯B¯C¯
A¯(B¯C¯)
A¯(B¯+C¯)
3A¯
F)Express your answer in terms of v1
G) If v1 and v2 are perpendicular?
H) If v1 and v2 are parallel?
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Expert Answer

unett
Answered 2021-06-04 Author has 119 answers
Jeffrey Jordon
Answered 2021-09-08 Author has 2027 answers

A) A=<2,1,4> B=<3,0,1> C=<1,1,2>

AB=<2,1,4><3,0,1>=6+04=10

E) ABC or A(BC) or 3A can not be computed because (BC) is a scalar quatitty as well as 3 and dot product is always belween 2 vectors.

A(B+C) can be computed

Since (B+C) is another vector dot product can be taken with A and (B+C)

F) v1,v2

v1v1=v12

G) v1 and v2 are perpendicular

v1v2=v1v2cos90=0

v1v1=v1v1cos0=v12

of v1 and v2 are parallel

v1v2=v1v2cos0=v1v2

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