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The image (or reflection) of the point (...

The image (or reflection) of the point (1,2-1) in the plane `vecr.(3hati-5hatj+4hatk)=5` is

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Find the image of the point (1, 3, 4) in the plane vecr.(2hati-hatj+hatk)+3=0

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Find the image of the point hati+3hatj+4hatk in the plane vecr.(2hati-hatj+hatk)+3=0 .

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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 .

The vector parallel to the line of intersection of the planes vecr.(3hati-hatj+hatk) = 1 and vecr.(hati+4hatj-2hatk)=2 is :

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