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The position vectors of the points P and...

The position vectors of the points P and Q are `5 hat i+7 hat j- 2 hat k` and `-3 hat i+3 hat j+6 hat k` respecively. The vector `vec A=3 hat i-hat j+hat k` passes through the point P and the vector `vec B=-3 hat i+2 hat j+4 hat k` passes through the point Q. A third vector `2 hat i+7 hat j- 5hat k` intersects vectors `vec A` and `vec B`. Find the position vectors of the points of intersection

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The position vector of the points P and Q are 5 hat i+7 hat j-2 hat k and -3 hat i+3 hat j+6 hat k , respectively. Vector vec A=3 hat i- hat j+ hat k passes through point P and vector vec B=-3 hat i+2 hat j+4 hat k passes through point Q . A third vector 2 hat i+7 hat j-5 hat k intersects vectors A and Bdot Find the position vectors of points of intersection.

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