A geometry problem by Guneet Singh Oberai

Geometry Level 1

Are vectors $\vec{u}$ and $\vec{w}$ equivalent?

No, they have same direction but different magnitude No,they have same magnitude but different direction Yes they are none

1 solution

Akshay Yadav
Jan 16, 2016

We know,

$\overrightarrow{u} = 2\widehat{i}+ 7\widehat{j}$

And,

$\overrightarrow{w} = -7\widehat{i}+ 2\widehat{j}$

Clearly their magnitudes are equal ( $\sqrt{53}$ ) but their direction is different.