If `lambda vec(i) + 2lambda vec(j) + 2 lambda vec(k)` is a unit vector then the value of `lambda` is `……………`

If vec(x) and vec(y) be two non - zero vectors such that |vec(x) + vec(y) | = |vec(x)| and 2vec(x) + lambda vec(y) is perpendicular to vec(y) then the value of lambda is _______ .

The magnitude of the vectors vec(a) and vec(b) are equal and the angle between them is 60^(@) . If the vectors lambda vec(a)+vec(b) and vec(a)-lambda vec(b) are perpendicular to each other, then what is the value of lambda ?

If vectors vec(a) = 3 hat(i) + hat(j) - 2 hat(k) and vec(b) = hat(i) + lambda(j) - 3 hat (k) are perpendicular to each other , find the value of lambda .

if vec a=2i+2j+3k,vec b=-i+2j+k and vcec=3i+j are such that vec a+lambdavec b is perpendicular vec c then find the value of lambda

If vec(a) = 2 hat(i) + 3 hat (j) + 4 hat(k) and vec(b) = 3 hat(i) + 2 hat(j) - lambda hat(k) are perpendicular, then what is the value of lambda ?

If vec(a)=vec(i)+2 hat(j)-3hat(k) and vec(b)=3hat(i)-hat(j)+lambda hat(k) and (vec(a)+vec(b)) is perpendicular to vec(a)-vec(b) , then what is the value of lambda ?

If the area of the parallelogram whose adjacent sides are 3vec i-4vec j+lambdavec k and 2vec j-4vec k is sqrt(436) sq units then find the value of lambda

If vec p=5vec i+lambdavec j-3vec k and vec q=vec i+3vec j-5vec k ,then find the value of lambda, so that vec p+vec q and vec p-vec q are perpendicular vectors.

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

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