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Vector Algebra question

2020 · 2 Sep · Shift 2 · Q31

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JEE Main
Mathematics
Vector Algebra
2020 · 2 Sep · Shift 2 · Q31

Vector Algebra question

2020 · 2 Sep · Shift 2 · Q31

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let the position vectors of points 'A' and 'B' be

\widehat i + \widehat j + \widehat k

and

2\widehat i + \widehat j + 3\widehat k

, respectively. A point 'P' divides the line segment AB internally in the ratio

\lambda

: 1 (

\lambda

> 0). If O is the origin and

\overrightarrow {OB} .\overrightarrow {OP} - 3{\left| {\overrightarrow {OA} \times \overrightarrow {OP} } \right|^2} = 6

, then

\lambda

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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