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

If a+2b+3c=4, then find the least value of a^2+b^2+c^2dot

If x=c y+b z ,y=a z+c x ,z=bx+a y ,w h e r ex ,y ,z are not all zeros, then find the value of a^2+b^2+c^2+2a b c dot

If the point (2,3),(1,1),a n d(x ,3x) are collinear, then find the value of x , using slope method.

Solve : 3x+2y=5 7x-y=6 , using matrix inversion method.

If the cartesian equation of the plane 2x-y+2z=3 find the vector equation of the plane in standard form.

If ( x + a) ( x + b ) (x + c ) = x^(3) + 14x^(2) + 59x + 70 , find the value of a^(2) + b^(2) + c^(2)

If the planes x-c y-b z=0,c x-y+a z=0a n d b x+a y-z=0 pass through a straight line, then find the value of a^2+b^2+c^2+2a b c dot

The equation of the plane which has the property that the point Q(5,4,5) is the reflection of point P(1,2,3) through that plane, is a x+b y+c z=d where a, b , c, d in N . Find the least value of (a+b+c+d) .