[" If "vec a=2hat i+6hat j+3hat k,vec b=hat i+lambdahat j+muhat k." If "vec a timesvec b=0," find the value of "lambda],[" and "mu.]

If vec(a) = 2 hat(i) + 6 hat(j) + 3hat(k) , vec(b) = hat(i) + lambda hat(j) + mu hat(k) . If vec (a) xx vec(b) = 0 , find the value of lambda and mu .

If vec a = 6hat i - hat j+ 2hat k and vec b =hat i- 3hat j - 2 hat k , find vec a - vec b .

If vec a=hat i+lambdahat j+hat k and vec b=hat i+hat j+hat k and |vec a+vec b|=|vec a|+|vec b| then the value of lambda is

If vec a=hat i+lambdahat j+hat k and vec b=hat i+hat j+hat k and |vec a+vec b|=|vec a|+|vec b| , then the value of lambda is

If vec a=3hat i+4hat j and vec b=hat i+hat j+hat k, find the value of |vec a xxvec b|

If vec a=3 hat i+4 hat j and vec b=hat i-hat j+hat k , find the value of | vec a*vec b|.

Vectors vec A=hat i+hat j-2hat k and vec B=3hat i+3hat j-6hat k are

If vec a = 2 hat i + 2 hat j + 3 hat k , vec b = - hat i + 2 hat j + hat k and vec c = 3 hat i + hat j are such that vec a + lambda vec b is perpendicular to vec c , then find the value of lambda .

The vectors vec a=hat i-2hat j+3hat k,vec b=-2hat i+3hat j-4hat k and vec c=hat i-3hat j+lambdahat k are coplanar if the value of lambda is

If vec a=2hat i+2hat j-3hat k,vec b=hat i-2hat j+2hat k,vec c=4hat i+3hat j+3hat k then find the value of |vec a+2vec b+2vec c|