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Find the vector equation of the line pa...

Find the vector equation of the line passing through (1, 2, 3) and parallel to each of the planes `vecr = (hati-hatj+2 hatk)= 5" and "vecr *(3hati- hatj+hatk)= 6`. Also find the point of intersection of the line thus obtained with the plane `vecr * (2hati-hatj+hatk)= 4`.

Text Solution

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The correct Answer is:
`vecr= (hati+2hatj+3hatk)+mu(hati+5hatj+2hatk) ; (0, -3, 1)`.
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