Tricky dot Product

Geometry Level 2

Let $\overrightarrow{a}$ and $\overrightarrow{b}$ vectors such that $\overrightarrow{a} \cdot \overrightarrow{b}=0$ .

This means that $\overrightarrow{a}$ and $\overrightarrow{b}$ are perpendicular

True False

1 solution

Krishna Priya
Nov 9, 2015

If a.b=0,then a and b may be parallel not perpendicular.

Are you sure? we're talking about the Dot Product .

IE $(1, 0) \cdot (0, 1) = 1 \times 0 + 0 \times 1 = 0$ . These vectors are perpendicular. They are not parallel.

Calvin Lin Staff - 5 years, 7 months ago