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Vector Algebra question

2021 · 27 Jul · Shift 1 · Q40

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2021 · 27 Jul · Shift 1 · Q40

Vector Algebra question

2021 · 27 Jul · Shift 1 · Q40

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\overrightarrow a = \widehat i + \widehat j + \widehat k,\overrightarrow b

and

\overrightarrow c = \widehat j - \widehat k

be three vectors such that

\overrightarrow a \times \overrightarrow b = \overrightarrow c

and

\overrightarrow a \,.\,\overrightarrow b = 1

. If the length of projection vector of the vector

\overrightarrow b

on the vector

\overrightarrow a \times \overrightarrow c

is l, then the value of 3l2 is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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