If O is the origin, `OP = 3` with the direction cosines of OP is `- (1)/(3) , (2)/(3), - (2)/(3),` then find the coordinates of P .

Find the direction cosines of the line (4-x)/(2)=(y)/(6)=(1-z)/(3) .

If A={1,2,3),then find A^2 .

If the point R (9, 4, 3) divides the join of P (5, 2, -3) and Q internally in the ratio 2 : 1, find the coordinates of Q.

A line segment AB is internally divided by the point P(1,1) in the ratio 3:1.If the coordinates of A are (-5,4),then find the coordinates of B.

If A = [(1),(2),(3)], B= [2 - 3, 4] , find AB,

Find the direction ratios of the line joining the points P (1, 3, -2) and Q ( -2 , 4, 0).

Let P be ' 2+3=8 ' and q be ' 3+4=7 ' then find the truth value of ~P ^^ q

Two vertices of a triangle are (1,3) and (3,1),If the coordinates of the centroid of the triangle is (2,1),find the coordinates of the third vertex of the triangle.

Which term of the A.P. -3frac(1)(3),-3,-2frac(2)(3) , is zero?

Find the derivatives of (x^2-1)^2(x^3+3)