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  4. The component of vector A=ax i+ay j+az k along the direction of i-j is

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Q. The component of vector $A=a_{x} i+a_{y} j+a_{z} k$ along the direction of $i-j$ is

BITSATBITSAT 2008

Solution:

Let $B=i-j$
$=\frac{A \cdot B}{B}$
$\frac{a_{x} i+a_{y} j+a_{x} k \cdot i-j}{i-j}$
$=\frac{a_{x}-a_{y}}{\sqrt{2}}$