For what values of `lamda` are the vectors `lamdahati+2hatj+hatk,3hati+2hatj,lamda i+j` are coplanar.

Find the value of lamda so that the two vectors 2hati+3hatj-hatk and -4hati-6hatj+lamda hatk are parallel

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

The value of lamda for which the vectors 3hati-6hatj+hatkand2hati-4hatj+lamdahatk parallel, is

The number of real values of a for which the vectors hati+2hatj+hatk, ahati+hatj+2hatk and hati+2hatj+ahatk are coplanar is

The number of distinct values of lamda , for which the vectors -lamda^(2)hati+hatj+hatk, hati-lamda^(2)hatj+hatk and hati+hatj-lamda^(2)hatk are coplanar, is

The number of distinct real values of lamda , for which the vectors -lamda^(2)hati+hatj+hatk, hati-lamda^(2)hatj+hatk and hati+hatj-lamda^(2)hatk are coplanar, is

Find the value of lamda so that the two vectors 2hati+3hatj-hatk and -4hati-6hatj+lamda hatk are Perpendicular to each other

The vectors lamdahati+hatj+2hatk,hati+lamdahatj-hatkand2hati-hatj+lamdahatk are coplanar, if

Find the value of lamda such that the vectors veca=2hati+lamdahatj+hatkandvecb=hati+2hatj+3hatk are orthogonal.

Let veca=2hati+3hatj-hatk and vecb=hati-2hatj+3hatk . Then , the value of lamda for which the vector vecc=lamdahati+hatj+(2lamda-1)hatk is parallel to the plane containing veca and vecb . Is