The position vector of a point `P` is `vecr=xhati+yhatj+zhatk` where `x,y,zepsilonN` and `veca=hati+hatj+hatk`. If `vecr.veca=10`, then the number of possible position of `P` is

The position vector of a point is R=xhati+yhati+zhatk and another vector is A=3hati+2hatj+5hat . Which of the mathematical relationns is correct?

The position vector for an electron is vecr=(6.0m)hati-(4.0m)hatj+(3.0m)hatk . (a) Find the magnitude of vecr .

Given : vecA = 2hati - hatj + 2hatk and vecB = -hati - hatj + hatk . The unit vector of vecA - vecB is

Find the values of x,y and z so that the vectors veca=xhati+2hastj+zhatk and vecb=2hati+hatj+hatk are equal.

Write the value of p for which veca = 3 hati + 2hatj + 9hatk and vecb = hati + p hatj + 3hatk are parallel vectors.

Let veca=2hati+3hatj+4hatk, vecb=hati-2hatj+jhatk and vecc=hati+hatj-hatk. If vecr xx veca =vecb and vecr.vec c=3, then the value of |vecr| is equal to

The position vectors of the points P and Q are 5hati+ 7hatj- 2hatk and -3hati+3hatj+6hatk , respectively. Vector vecA= 3hati-hatj+hatk passes through point P and vector vecB=-3hati+2hatj+4hatk passes through point Q. A third vector 2hati+7hatj-5hatk intersects vectors A and B. Find the position vectors of points of intersection.

The co-ordinates of the point P on the line vecr =(hati +hatj + hatk)+lambda (-hati +hatj -hatk) which is nearest to the origin is

Let veca = hati + hatj + hatk and let vecr be a variable vector such that vecr.hati, vecr.hatj and vecr.hatk are posititve integers. If vecr.veca le 12 , then the total number of such vectors is:

If hati, hatj, hatk are unit orthonormal vectors and veca is a vector, If veca xx vecr = hatj , then veca.vecr :