Find the values of x for which `x(hati+hatj+hatk)` is a unit vector

Find the values of x and y for which vectors vecA=6hati+xhatj-2hatk and vecB=5hati-6hatj-yhatk may be parellel

Find the value of lambda for which the four points with position vectors 6hati-7hatj, 16hati-19hatj, lambdahatj-6hatk and 2hati-5hatj+10hatk are coplanar.

Find the projection of the vector hati-2hatj+hatk on the vector 4hati-4hatj+7hatk .

Find the projection of vector veca=5hati-hatj-3hatk on the vector vecb=hati+hatj+hatk .

The scalar product of the vector hati+hatj+hatk with a unit vector along the sum of the vectors 2hati+4hatj-5hatk and lamda hati+2hatj+3hatk is equal to one. Find the value of lamda .

Find the resultant of vectors veca=hati-hatj+2hatk and vecb=hati+2hatj-4hatk . Find the unit vector in the direction of the resultant vector.

find the projection of the vector hati+3hatj+7hatk on the vector 7hati-hatj+8 hatk

The sum of the distinct real values of mu , for which the vectors, mu hati + hatj + hatk, hati + mu hatj + hatk, hati + hatj + muhatk are coplanar, is

The angle theta between the vector p=hati+hatj +hatk and unit vector along X-axis is

The values of x for which the angle between the vectors veca =xhati - 3hatj-hatk and vecb = 2x hati + x hatj -hatk is acute, and the angle, between the vector vecb and the axis of ordinates is obtuse, are