Question

Find the projection of A=i-2j+k on B=4i-4j+7k

Answer 1

The projection of A= i-2j+k on B= 4I-4j+7k is  19/9

Given that;

A=i-2j+k and B=4i-4j+7k

To find;

Projection of A on B

Solution;

We know that,

projection of vector A on vector B is equal to $\frac{A.B}{mod [B]}$

projection of vector A on vector B= $\frac{4 + 8 + 7}{\sqrt{16 + 16 + 49} }$ = $\frac{19}{9}$

Hence projection of vector A on vector B = $\frac{19}{9}$

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