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The position vector of a midpoint lying ...

The position vector of a midpoint lying on the line joining the points whose position vectors are `veci+vecj-veck` and `veci-vecj+veck` is

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Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are P(veci+2vecj-veck) and Q(-veci+vecj+veck) respectively, in the ratio 2 : 1, internally.

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are P(veci+2vecj-veck) and Q(-veci+vecj+veck) respectively, in the ratio 2 : 1, externally.

Show that the points whose position vectors are 2veci+3vecj-5veck,3veci+vecj-2veck and 6veci-5vecj+7veck are collinear.

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The angle between the two vectors- 2veci+3vecj+veck and veci+3vecj-4veck is.

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The unit vector parallel to the resultant of the vectors veci+vecj-veck and veci-2vecj+veck is ……….

Find angle 'Ɵ' between the vectors veca = veci + vecj - veck and vecb = veci - vecj + veck .

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