Given $$ \mathbf{v}=-9 \mathbf{i} $$ and $$ \mathbf{w}=-\mathbf{j} $$ (a) find the dot product $$ \mathbf{v} \cdot \mathbf{w} $$ (b) find the angle between $$ \mathbf{v} $$ and $$ \mathbf{w} $$; (c) state whether the vectors are parallel, orthogonal, or neither.

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Patel Peterson · Accepted Answer

(a) The dot product is 0. (b) The angle is $$ \frac{\pi}{2} $$ radians (90 degrees). (c) The vectors are orthogonal.

Given \( \mathbf{v}=-9 \mathbf{i} \) and \( \mathbf{w}=-\mathbf{j} \) (a) find the dot product \( \mathbf{v} \cdot \mathbf{w} \) (b) find the angle between \( \mathbf{v} \) and \( \mathbf{w} \); (c) state whether the vectors are parallel, orthogonal, or neither.

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Given \( \mathbf{v}=-9 \mathbf{i} \) and \( \mathbf{w}=-\mathbf{j} \) (a) find the dot product \( \mathbf{v} \cdot \mathbf{w} \) (b) find the angle between \( \mathbf{v} \) and \( \mathbf{w} \); (c) state whether the vectors are parallel, orthogonal, or neither.

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