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Find a vector of magnitude 11 in the dir...

Find a vector of magnitude 11 in the direction opposite to that of `vec(PQ)`, where P and Q are the points (1,3,2) and (-1,0,8) respectively.

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Find the unit vector in the direction of vector vec(PQ) , where P and Q are the points (1, 2, 3) and (4, 5, 6), respectively.

Find the unit vector in the direction of vector vec(PQ , where P and Q are the points (1,2,3) and (4,5,6) respectively.

Find the components and magnitude of the vector vec PQ where P and Q are the points (-1,-2,4) and (2,0,-2) respectively.

Find a unit vector in the direction of vec(PQ) . where P and Q have coordinates (5, 0, 8) and (3, 3, 2) respectively.

Find the projection of vec AB on vec PQ where P,Q,A,B are the points (-2,1,3),(0,2,5),(4,-3,0),(7,-5,-1) respectively.

Find the value of x such that PQ = QR, where P, Q and R are (6,- 1), (1, 3) and (x, 8) respectively.

Find the direction cosines of the line passing through the points P(2,3,5), and Q(-1,2,4).

Magnitude of the vector vec(PQ) , joining the points P(2,3,0) and Q(1,-2,-4) is :

MODERN PUBLICATION-VECTORS-Exercise
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