If a = 2i + 5j and b = 2i - j, then the unit vector along a+b wil… - Vidyadip

MCQ

If $a = 2i + 5j$ and $b = 2i - j,$ then the unit vector along $a+b$ will be

A
$\frac{{i - j}}{{\sqrt 2 }}$
B
$i + j$
C
$\sqrt 2 (i + j)$
✓
$\frac{{i + j}}{{\sqrt 2 }}$

✓

Answer

Correct option: D.

$\frac{{i + j}}{{\sqrt 2 }}$

d
(d) $a + b = 4i + 4j,$ therefore unit vector $\frac{{4\,(i + j)}}{{\sqrt {32} }} = \frac{{i + j}}{{\sqrt 2 }}.$

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