The projection of the vector (a=2i-3j+4k )on the vector (b=i... | Mathematics | SolveeIt

The projection of the vector $a=2i-3j+4k$ on the vector $b=i+2j+2k$ is ?

$\dfrac{3}{4}$

$\dfrac{4}{3}$

$\dfrac{2}{3}$

$\dfrac{1}{3}$

Answer

$\dfrac{4}{3}$

Explanation

The projection of the vector $a=2i-3j+4k$ on the vector $b=i+2j+2k$ can be determine as follows

$\dfrac{a.b}{|b|}=\dfrac{(2i-3j+4k)(i+2j+2k)}{|i+2j+2k|}$

$=\dfrac{4}{3}$ (Ans.)

Mathematics Question on Vector basics