`3hati+2hatj+xhatk` vector which makes an angle of `90^(@)` with the vector `2hati+2hatj-hatk` find the value of x

The vector veca=1/4(2hati-2hatj+hatk) (A) is a unit vector (B) makes an angle of pi/3 with the vector (hati+1/2 hatj-hatk) (C) is parallel to the vector 7/4hati-7/4hatj+7/8hatk (D) none of these

A vectors which makes equal angles with the vectors 1/3(hati - 2hatj + 2 hatk ) , 1/5(-4hati - 3hatk) , hatj is:

A vector P=3hati-2hatj+ahatk is perpendicular to the vector Q=2hati+hatj -hatk, The value of a is

Forces 2hati+hatj, 2hati-3hatj+6hatk and -hati+2hatj-hatk act at a point P, with position vector 4hati-3hatj-hatk . Find the vector moment of the resultant of these forces about thepoint Q whose position vector is 6hati+hatj=3hatk

If a vector 2hati +3hatj +8hatk is perpendicular to the vector 4hati -4hatj + alphahatk, then the value of alpha is

If a vector 2hati +3hatj +8hatk is perpendicular to the vector 4hati -4hatj + alphahatk, then the value of alpha is

If vectors veca =hati +2hatj -hatk, vecb = 2hati -hatj +hatk and vecc = lamdahati +hatj +2hatk are coplanar, then find the value of lamda .

Find as unit vector paralel to the sum of the vectors 2hati+3hatj-5hatk and hati+2hatj+3hatk

Find the angle between the vectors 4hati-2hatj+4hatk and 3hati-6hatj-2hatk.

The acute angle that the vector 2hati-2hatj+hatk makes with the plane determined by the vectors 2hati+3hatj-hatk and hati-hatj+2hatk is