First slide

Vectors

Question

If the sum of two unit vectors is a unit vector, then magnitude of difference in two unit vectors is

Easy

A

$\sqrt{2}$
B

$\sqrt{3}$
C

$1 / \sqrt{2}$
D

$\sqrt{5}$

Solution

Sum of two unit vectors is a unit vector, means angle between those two unit vectors is 120⁰
$∴$ Difference, $| S | = \sqrt{1 + 1 - 2 \times 1 \times 1 \times \cos 120 °} = \sqrt{3}$

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