Question

The product of two vectors is always a vector is these statements true or false

Answer 1

The dot product of two vectors are not always vector it is always scalar due to the two quantity whose both have own direction this due to this different direction products of two vectors are not always vector means it always be scalar.

But cross product of two vectors are always vector.
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Answer 2

If here product means cross product then statement is $\red{True}$

If it is asking for dot product then it is $\blue{False}$