Question

The product of two vectors is not neccessary a vector submitted your answer

Answer 1

Answer:

If two vectors are collinear, i.e. angle between them is 0,their vector product is 0.

If two vectors are orthogonal, i.e. angle between them is pi/2, their scalar product is 0.

Thus, if one vector is i, the other one is j, k, or any linear combination of j and k, then only the scalar product will be zero.

Thus, if one vector is i, the other one is collinear to i (that is, Ai, where A is a real constant), then only the vector product will be zero.

Thus, if one vector is i, the other one is zero vector, then both the scalar product and the vector product will be zero.