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# NCERT Solution Class 12 Chapter 10- Vector Algebra Exercise 10.4

## NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.4 – Free PDF Download

Exercise 10.4 of NCERT Solutions for Class 12 Maths Chapter 10- Vector Algebra is based on vector (or cross) product of two vectors. The concept of distributivity of vector product over addition is also explained before this exercise. The magnitude of the vector product of two vectors can be constructed by taking the product of the magnitudes of the vectors times the sine of the angle (<180 degrees) between them. There are problems present in this exercise which are based on this definition of vector products as well.

## Download PDF of NCERT Solutions for Class 12 Maths Chapter 10- Vector Algebra Exercise 10.4       ### Access Other Exercises of Class 12 Maths Chapter 10

Exercise 10.1 Solutions 5 Questions

Exercise 10.2 Solutions 19 Questions

Exercise 10.3 Solutions 18 Questions

Miscellaneous Exercise On Chapter 10 Solutions 19 Questions

#### Access Answers to NCERT Class 12 Maths Chapter 10 Exercise 10.4

1. Find , if and Solution:

It is given that, 2. Find a unit vector perpendicular to each of the vector and , where and .

Solution:

It is given that,  Solution:

Firstly, 4. Show that Solution:

Firstly consider the LHS,

We have, 5. Find λ and μ if .

Solution:

It is given that,    Solution:

It is given that,  Solution:

Firstly let us consider, 9. Find the area of the triangle with vertices A (1, 1, 2), B (2, 3, 5) and C (1, 5, 5).

Solution:

We know, 10. Find the area of the parallelogram whose adjacent sides are determined by the vector .

Solution:

Let us consider,  Solution:

Explanation: 12. Area of a rectangle having vertices A, B, C, and D with position vectors and respectively is Solution:

Explanation: 