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Vector Algebra question

2020 · 3 Sep · Shift 2 · Q23

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2020 · 3 Sep · Shift 2 · Q23

Vector Algebra question

2020 · 3 Sep · Shift 2 · Q23

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let a, b c

\in

R be such that a2 + b2 + c2 = 1. If

a\cos \theta = b\cos \left( {\theta + {{2\pi } \over 3}} \right) = c\cos \left( {\theta + {{4\pi } \over 3}} \right)

, where

{\theta = {\pi \over 9}}

, then the angle between the vectors

a\widehat i + b\widehat j + c\widehat k

and

b\widehat i + c\widehat j + a\widehat k

is :

A
0
B
${{\pi \over 9}}$
C
${{{2\pi } \over 3}}$
D
${{\pi \over 2}}$

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