Question

A and B are two non zero vectors how can their scalar product be zero and how can there vector product be zero
​

Answer 1

Answer:

their vector product can be zero when they are in opposite direction and their scalar product can be if magnitude of the either vector is 0 or when the vectors are orhogonal i.e. perpendicular.

Answer 2

Answer:

A and B are two non zero vectors their scalar product is zero when they are perpendicular to each other and the vector product is zero when they are parallel to each other

​ Explanation:

A vector is a physical quantity that has both magnitude and direction.

There are two multiplication operations for vectors, that are

1. scalar product
2. vector product  

The scalar product of two vectors A and B inclined to an angle $\alpha$ is given by the formula $A.B=/A//B/cos\alpha$

where $/A/,/B/$- are magnitudes of the vectors

The vector product of the vectors is given by the formula

$A$×$B=/A//B/sin\alpha$

from the question, it is given that vectors A and B are non zero vectors

scalar product of two non zero vectors is zero when

$cos\alpha =0\\\alpha =90$ that is when they are perpendicular to each other

vector product will be zero if

$sin\alpha =0\\\alpha =0$

that is when they are parallel to each other