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Question

determine whether u and v are orthogonal, parallel, or neither. u = 2i - 3j + k , v = -i - j - k

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Solution B

Answered 2 years ago

Step 1

1 of 5Two vectors are parallel if they are scalar multiples of one another. If $\mathbf{u}$ and $\mathbf{v}$ are two non-zero vectors and $\mathbf{u}=c\mathbf{v}$, where $c$ is scalar, then $\mathbf{u}$ and $\mathbf{v}$ are parallel.

Two vectors $\mathbf{u}$ and $\mathbf{v}$ whose dot product is $\mathbf{u}\cdot \mathbf{v}=0$ are said to be orthogonal.

Answered 2 years ago

Step 1

1 of 4$u=2i-3j+k=<2,-3,1>$

$v=-i-j-k=<-1,-1,-1>$

We are given the vectors:

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