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Vector Algebra question

2023 · 24 Jan · Shift 2 · Q39

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2023 · 24 Jan · Shift 2 · Q39

Vector Algebra question

2023 · 24 Jan · Shift 2 · Q39

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\overrightarrow a = \widehat i + 2\widehat j + \lambda \widehat k,\overrightarrow b = 3\widehat i - 5\widehat j - \lambda \widehat k,\overrightarrow a \,.\,\overrightarrow c = 7,2\overrightarrow b \,.\,\overrightarrow c + 43 = 0,\overrightarrow a \times \overrightarrow c = \overrightarrow b \times \overrightarrow c

. Then

\left| {\overrightarrow a \,.\,\overrightarrow b } \right|

is equal to :

Numerical answer

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