# Vector Product (Part-6) | S N Dey | Class 12

In the previous article , we have solve the solutions of Ex-2B of Vector Product chapter of S N Dey mathematics class 12 book of Chhaya maths. In this article, we will discuss the solutions of Ex-2B of Product of two vectors chapter.

##### Vector Product | S N Dey mathematics class 12 Solutions of Ex-2A

If and find the value of

Solution.

If and find

Solution.

If and find

Solution.

The vectors which determine the sides of the parallelopiped are given below ; In each case find the volume of the parallelopiped .

Solution.

let

So, the volume of the parallelopiped is :

Solution.

Let

So, the volume of the parallelopiped is :

Solution.

Let

So, the volume of the parallelopiped is :

In each of the following show that the given vectors are coplanar.

Solution.

Let Then,

Since hence the given vectors are coplanar.

Solution.

Since, hence the given vectors are coplanar.

Solution.

Hence, from the result obtained from we can conclude that the given vectors are coplanar.

Note[*] :

If find and interpret the result.

Solution.

Since, hence the given vectors are coplanar.

If the vectors and are coplanar, find the value of

Solution.

let

Since are coplanar,

If the vectors and are coplanar , find the value of

Solution.

If the vectors are coplanar, then

The position vectors of four points and are given below. In each case, using vector method prove that the four points and are coplanar.

Solution.

are coplanar and so, the four points and are coplanar.

Solution.

are coplanar and so, the four points and are coplanar.

If the vectors and are coplanar, then find the value of

Solution.

let and

If the vectors and are coplanar,

If the vectors and are coplanar, find in terms of

Solution.

If the vectors are coplanar,

Prove that,

Solution.

Solution.

and then find the value of

Solution.

If the vectors and be coplanar, show that

Solution.

let

If are coplanar, then

Let and then, if and find which makes and coplanar.

Solution.

Since are coplanar, then

Find such that the four points and are coplanar.

Solution.

let

If the four points are coplanar, are coplanar.