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Vector Algebra question

2021 · 25 Jul · Shift 2 · Q43

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2021 · 25 Jul · Shift 2 · Q43

Vector Algebra question

2021 · 25 Jul · Shift 2 · Q43

JEE MainMathematicsVector AlgebraNumerical+4 / −1

If

\left( {\overrightarrow a + 3\overrightarrow b } \right)

is perpendicular to

\left( {7\overrightarrow a - 5\overrightarrow b } \right)

and

\left( {\overrightarrow a - 4\overrightarrow b } \right)

is perpendicular to

\left( {7\overrightarrow a - 2\overrightarrow b } \right)

, then the angle between

\overrightarrow a

and

\overrightarrow b

(in degrees) is

\underline{\hspace{2cm}}

.

Numerical answer

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