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Find the unit vector perpendicular to th...

Find the unit vector perpendicular to the plane ABC, where the position vectors of A, B and C are `2hat(i) - hat(j) + hat(k), hat(i) + hat(j) + 2hat(k)` and `2hat(i) + 3hat(k)`, respectively.

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Show that the vectors -hat(i) + hat(j) - hat(k), hat(i) + hat(j) + hat(k) and hat(i) + hat(k) are coplanar.

Prove that the four points with position vectors hat(i) + hat(j) + 3hat(k) , hat(i) - 2hat(j) + 2hat(k) and 2hat(i) + 2hat(k) are coplanar.

Show that the points whose position vectors are 5hat(i) + 5 hat(k), 2 hat(i) + hat(j) + 3 hat(k) and -4 hat(i) + 3 hat(j) - hat(k) are collinear.

MODERN PUBLICATION-TEST PAPER 8-EXERCISE
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