Question

Let vectors A'=(2,\ 1,\ -4) B'=(-3,\ 0,\ 1) and C'=(-1,\ -1,\ 2) Calculate the following: 2(B'\cdot3C')=?

Vectors
ANSWERED
asked 2021-06-06
Let vectors \(A'=(2,\ 1,\ -4)\)
\(B'=(-3,\ 0,\ 1)\)
and \(C'=(-1,\ -1,\ 2)\)
Calculate the following:
\(2(B'\cdot3C')=?\)

Answers (1)

2021-06-07
Step 1
\(\overrightarrow{B}=-3\hat{i}+\hat{k}\)
\(\overrightarrow{C}=(-\hat{i}-\hat{j}+2\hat{k})\)
Step 2
\(2(\overrightarrow{B}\cdot3\overrightarrow{C})\)
\(=2[(-3\hat{i}+\hat{k})\cdot3(-\hat{i}-\hat{j}+2\hat{k})]\)
\(=2[9+6]=30\)
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