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Vector Algebra question

2018 · Shift 1 · Q30

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PYQ Library
JEE Advanced
Mathematics
Vector Algebra
2018 · Shift 1 · Q30

Vector Algebra question

2018 · Shift 1 · Q30

JEE AdvancedMathematicsVector AlgebraNumerical+3 / −1

Let a and b be two unit vectors such that a . b = 0. For some x, y

\in

R, let

\overrightarrow c = x\overrightarrow a + y\overrightarrow b + \overrightarrow a \times \overrightarrow b

. If |

\overrightarrow c

| = 2 and the vector c is inclined at the same angle

\alpha

to both a and b, then the value of

8{\cos ^2}\alpha

is ..............

Numerical answer

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