IfA, B are two points on the curve `y = x^2` in the `xoy` plane satisfying `vecOA*veci=1`and `vecOB*veci=-2` then the length of the vector `2vec0A-3vecOB` is

IfA,B are two points on the curve y=x^(2) in the x oy plane satisfying vec OA*vec i=1 and vec OB*vec i=-2 then the length of the vector 2vec 0A-3vec OB is

A non zero vector veca is parallel to the line of intersection of the plane determined by the vectors veci,veci+vecj and the plane determined by the vectors veci-vecj, veci+veck find the angle between veca and the vector veci-2vecj+2veck .

Find the equation of the plane through the point 2veci+3vecj-veck and perpendicular to the vector 3veci-4vecj+7veck .

Find the equation of a line through a point C of position vector vec c=3veci+2vecj and perpendicular to the vector vecb=veci-vecj in the xy-plane.

A tangent is drawn to the curve y=8x^(2) at a point A(x_(1),y_(1)), where x_(1)=2. The tangent cuts the x-axis at the point B .Then the scalar product of the vectors vec AB and vec OB is: 3 b.-3 c.6d.-6

Find the direction cosines and unit vector along the vector vecr=2veci+vecj+3veck .

If the position vector of a point A is vec a + 2 vec b and vec a divides AB in the ratio 2:3 , then the position vector of B, is

The ratio in which the plane vecr.(veci-2 vecj+3veck)=17 divides the line joining the points -2veci+4vecj+7veckandvec3i-5vecj+8veck is