Vector Dot Product Learning Goal: To understand the rules for computing dot products. Let vectors...

Michael Maggard

Michael Maggard

Answered

2021-12-15

Vector Dot Product Learning Goal: To understand the rules for computing dot products. Let vectors B=(3,0,1),C=(1,1,2)
Dot product of two vectors multiplied by constants Calculate 2B3C. Express your answer numerically. 2B3C=

Answer & Explanation

vicki331g8

vicki331g8

Expert

2021-12-16Added 37 answers

Dot product of two vectors multiplied by constants:
2B3C=2(3,0,1)3(1,1,2)
2B3C=(6,0,2)(3,3,6)
2B3C=(6×(3))+(0×(3))+(2×6)
2B3C=18+0+12
2B3C=30
Papilys3q

Papilys3q

Expert

2021-12-17Added 34 answers

Is there a more shortly solution?
nick1337

nick1337

Expert

2021-12-28Added 573 answers

Here:
The dot product of vectors 2B3C is,
Here, p and q are constans, Cx,Cy,Cz are the x,y,z components of vector C,
Substitute 2 for p, 3 for q, -1 for Cx, -1 for C_xCy, 2 for Cz, -3 for Bx, 1 for Bz. The dot product of the vectors is,
2B3C=30

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