Math / Geometry

Question1. $v=i+j, w=-i+j$ A) Find the dot product $\mathbf{v} \cdot \mathbf{w}$ . $(1 i+1 j)(-1 i+1 j)$ B) Find the angle between $\mathbf{v}$ and $\mathbf{w}$ . C) State whether the vectors are parallel, orthogonal, or neither.

Studdy Solution
A) The dot product $\mathbf{v} \cdot \mathbf{w}$ is 0. B) The angle between $\mathbf{v}$ and $\mathbf{w}$ is $\frac{\pi}{2}$ radians, or 90 degrees. C) The vectors $\mathbf{v}$ and $\mathbf{w}$ are orthogonal.

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