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If  A1,2,3,B2,3,4,C3,4,5,D4,5,6are four points, then the projection of BD¯  on  AC¯ is

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a
3
b
23
c
6
d
6

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detailed solution

Correct option is B

The vectors  BD¯=2i+2j+2k and AC¯=2i+2j+2kThe projection of BD¯ onAC¯  is  BD¯⋅AC¯AC¯It implies that  BD¯⋅AC¯AC¯=4+4+44+4+4=12=23


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