Let \overline{ {\u}}, \overline{ {\v}} and \overline{ {\w}} be the vectors such that |\overline{ {\u}}|=1 ;|\overline{v}|=2 ;|\overline{w}|=3. If the projection of \overline{v} along \overline{u} is equal to that of \overline{ {\w}} along \overline{ {\u}} and \overline{ {\v}}, \overline{ {\w}} are perpendicular to each other, then |\overline{u}-\overline{v}+\overline{w}| is equal to

MHTCET 14 May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 65 of 150

Marks: +1, -0

Let u,v and w be the vectors such that |u|=1;|v|=2;|w|=3. If the projection of v along u is equal to that of w along u and v,w are perpendicular to each other, then |u−v+w| is equal to

2
√7
√14
14

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