Maths-
General
Easy

Question

# Assertion : For the volume of the parallel piped formed by vectors and is maximum (The vectors form a right-handed system)Reason: The volume of the parallel piped having three coterminous edges and

Hint:

## The correct answer is: Statement is true, statement is true; statement is a correct explanation for statement

### We are given two statements we have to check which of them are true.Statment 1:The first statement is about the maximum volume of parallelepiped. We will find the maximum volume of parallelepiped.We  will find the maximum value of parallelepiped.So, the first statement is true.Statement 2:We are getting the maximum value of parallelepiped at this value of a.Now, we will see statment 2.Coterminous edges means the vectors or sides end at single common point. So, yes parallelepiped has coterminous edges.Three edges meet at one point.As the edges end at one point, we can consider two of them as base. We can take their cross product and take them as base. And, the projection of the third vector with the cross product will give is the height.Hence the statement 2 is true and a correct explanation of statement 1.

For such questions, we should know the formula of a parallelepiped. We should also know how to take a scalar product.