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If $A (1, 2, 3), B (2, 3, 4), C (3, 4, 5), D (4, 5, 6)$ are four points, then the projection of $\bar{B D} on \bar{A C}$ is

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Correct option is B

The projection of BD¯ on AC¯ isBD¯ ⋅ AC¯AC¯Hence, BD¯ ⋅ AC¯AC¯=OB¯−OD¯⋅OC¯−OA¯OC¯−OA¯=2i+3j+4k−4i+5j+6k⋅3i+4j+5k−i+2j+3k3i+4j+5k−i+2j+3k=−2i−2j−2k⋅2i+2j+2k4+4+4=1212Therefore, the required projection is 23

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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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If $A (1, 2, 3), B (2, 3, 4), C (3, 4, 5), D (4, 5, 6)$ are four points, then the projection of $\bar{B D} on \bar{A C}$ is