If `veca` is a non-zero vector of magnitude a and `vec(lamda a)` a is a unit vector, find the value of `lamda`

If veca is a non-zero vector of modulus a and m is a non-zero scalar, then ma is a unit vector if

IF lamda^(log_(5)3 =81 ,find the value of lamda

If veca is non-zero vector and k is a scalar such that k veca =1, then k is :

Four non-zero vectors will always be

If vectors veca =hati +2hatj -hatk, vecb = 2hati -hatj +hatk and vecc = lamdahati +hatj +2hatk are coplanar, then find the value of (lamda -4) .

If the sum of the unit vectors hat(a) and vec(b) is a unit vector. Show that the magnitude of their difference is sqrt(3) .

If non-zero vectors veca and vecb are equally inclined to coplanar vector vecc , then vecc can be

Find a vector of magnitude (5/2) units which is parallel to the vector 3hati+4hatj .