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Find a unit vector in the direction of u and opposite of u

Find a unit vector in the direction of u and opposite of u-example-1
User Garytje
by
6.5k points

1 Answer

4 votes

Just divide
\mathbf u by its magnitude:


\|\mathbf u\|=√(5^2+6^2+(-1)^2)=√(62)

So a unit vector in the direction of
\mathbf u is


(\mathbf u)/(\|\mathbf u\|)=\frac5{√(62)}\,\mathbf i+\frac6{√(62)}\,\mathbf j-\frac1{√(62)}\,\mathbf k

Then multiply this by -1 to get a unit vector pointing in the opposite direction.

User JGrindal
by
5.3k points