Question

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

• A. $a_x-a_y+a_z$
• B. $a_x-a_y$
• C. $(a_x-a_y)/\sqrt{2}$
• D. $(a_x+a_y+a_z)$

Answer 1

Answer: (C)

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