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If `(a, b, c)` is a point on the plane `3x + 2y + z = 7,` then find the least value of 2(`a^2+b^2+c^2),` using vector method.

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CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
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  6. If the angle between the plane x-3y+2z=1 and the line (x-1)/2=(y-1)/...

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  7. The length of projection of the line segment joining the points (1,...

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  8. Find the equation of a plane passing through (1, 1, 1) and parallel to...

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  10. For the line (x-1)/(1)=(y-2)/(2)=(z-3)/(3), which one of the following...

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  16. A unit vector parallel to the intersection of the planes vec r. \ (...

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  17. Let L1 be the line vec r1=2 hat i+ hat j- hat k+lambda(hat i+2 hat k)...

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  18. The distance of point A(-2,3,1) from the line P Q through P(-3,5,2), w...

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  19. The Cartesian equation of the plane vec r=(1+lambda-mu) hat i+(2-l...

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