Relative to a fixed origin 0, the point A has position vector i^−3j^+2k^ \hat{i} - 3 \hat{j} + 2 \hat{k} and the point B has position vector −2i^+2j^−k^ - 2 \hat{i} + 2 \hat{j} - \hat{k} The points A and B lie on a straight-line 1. The point C has position vector 2i^+pj^−4k^ 2 \hat{i} + p \hat{j} - 4 \hat{k} with respect to O, where p is a constant. Given that AC is erpendicular to 1. Find the value of p.

Question

Relative to a fixed origin 0, the point A has position vector   i^−3j^+2k^ \hat{i} - 3 \hat{j} + 2 \hat{k} and the point B has position vector  −2i^+2j^−k^ - 2 \hat{i} + 2 \hat{j} - \hat{k} The points A and B lie on a straight-line 1. The point C has position vector  2i^+pj^−4k^ 2 \hat{i} + p \hat{j} - 4 \hat{k}  with respect to O, where p is a constant. Given that AC is erpendicular to 1. Find the value of p.

Accepted Answer

ঘ. p =-6

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