Let \pi_1 be the plane determined by the vectors \overline{ {\i}}+\overline{ {\j}} and \overline{ {\j}}+\overline{ {\k}}, \pi_2, be the plane determined by the vectors \overline{ {\i}}-\overline{ {\j}} and \overline{ {\i}}+\overline{ {\j}}-\overline{ {\k}}. Let \overline{ {\a}} be a vector parallel to the line of intersection of \pi_1 and \pi_2. If |{ {\a}}^{\to}|=\sqrt{14}, then |\overrightarrow{a} \cdot(\overline{ {\i}}+\overline{ {\j}}+\overline{ {\k}})|=

AP EAPCET 18th May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 33 of 160

Marks: +1, -0

Let π1 be the plane determined by the vectors i+j and j+k,π2, be the plane determined by the vectors i−j and i+j−k. Let a be a vector parallel to the line of intersection of π1 and π2. If |

→

|=√14, then |

→

⋅(i+j+k)|=

Validate

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