# Let the position vectors of points 'A' and 'B' be i+j+k and 2i+j+3k, respectively. A point 'P' divides the line

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Let the position vectors of points 'A' and 'B' be $\hat{i}+\hat{j}+\hat{k}$ and $2\hat{i}+\hat{j}+3\hat{k}$ , respectively. A point 'P' divides the line segment AB internally in the ratio $\lambda$ : 1 ($\lambda$ > 0). If O is the origin and $\overrightarrow{OB}.\overrightarrow{OP}-3\Big|\overrightarrow{OA}\times\overrightarrow{OP}\Big|^2=6$ , then $\lambda$ is equal to

Numerical Value Type