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Find the equation of the plane through the line of intersection of the planes x + y +z =1 and 2x + 3y + 4z =5 which is perpendicular to the plane x - y + z = 0. Also find the distance of the plane obtained above, from the origin. OR Find the distance of the point (2, 12, 5) from the point of intersection of the line →r=2^i−4^j+2^k+λ(3^i+4^j+2^k) and the plane →r.(^i−2^j+^k)=0. |
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Answer» Find the equation of the plane through the line of intersection of the planes x + y +z =1 and 2x + 3y + 4z =5 which is perpendicular to the plane x - y + z = 0. Also find the distance of the plane obtained above, from the origin. OR Find the distance of the point (2, 12, 5) from the point of intersection of the line →r=2^i−4^j+2^k+λ(3^i+4^j+2^k) and the plane →r.(^i−2^j+^k)=0. |
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