If `2hati - 3hatj-hatk` & `ahati + bhatj- 2hatk` these two vectors are parallel to each other. Then find out the value of b.

If the vectors 3 hati - 2hatj + mhatk and -2 hati + hatj + 4 hatk are perpendicular to each other, find the value of m.

veca = 3hati + 3hatj - hatk and vecb = 2hati + 6hatj + mhatk are perpendicular to each other , then the value of m is

The vectors vecP = ahati + ahatj+ 3hatk and vecQ = ahati-2hatj-hatk are perpendicular to each other. The positive value of ‘a’ is

vecA =2hati +3hatj+4hatk & vecB=hati- hatj + hatk are two given vectors. Find out the value of barA xx barB .

vecA =2hati+3hatj+4hatk and vecB=hati-hatj+hatk are two vectors. Find vecAxxvecB .

If vecalpha= 2hati+3 hat j-6 hatk and vec beta= phat i-hatj+2 hatk are two parallel vectors, then the value of p is

Let veca=2hati+phatj-3hatk and vecb=qhati-4hatj+2hatk be two vectors, if veca"||"vecb , then the values of p and q are -

Two vectors hati+hatj+2hatk and hati+hatj-hatk represent two sides of a triangle . Find the angle between them and the length of the third side.

vec a = hati +hatj + hatk and vecb = -2hati +hatj +2hatk represent two adjacent sides of a parallelogram. Find unit vectors in directions parallel to the diagonals of the parallelogram.