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Vector Algebra question

2022 · 25 Jun · Shift 1 · Q46

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JEE Main
Physics
Vector Algebra
2022 · 25 Jun · Shift 1 · Q46

Vector Algebra question

2022 · 25 Jun · Shift 1 · Q46

JEE MainPhysicsVector AlgebraMCQ+4 / −1

Which of the following relations is true for two unit vector

\widehat A

and

\widehat B

making an angle

\theta

to each other?

A
$|\widehat A + \widehat B| = |\widehat A - \widehat B|\tan {\theta \over 2}$
B
$|\widehat A - \widehat B| = |\widehat A + \widehat B|\tan {\theta \over 2}$
C
$|\widehat A + \widehat B| = |\widehat A - \widehat B|cos{\theta \over 2}$
D
$|\widehat A - \widehat B| = |\widehat A + \widehat B|\cos {\theta \over 2}$

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