NCERT Solution Class 12 Chapter 10- Vector Algebra Exercise 10.4

The 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

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ncert sol Class 12 maths chapter 10 ex 4 7

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 of Maths NCERT Class 12 Chapter 10.4

1. FindNCERT Solutions Class 12 Mathematics
Chapter 10- image 103, if NCERT Solutions Class 12 Mathematics
Chapter 10- image 104andNCERT Solutions Class 12 Mathematics
Chapter 10- image 105

Solution:

It is given that,

NCERT Solutions Class 12 Mathematics
Chapter 10- image 106

2. Find a unit vector perpendicular to each of the vector NCERT Solutions Class 12 Mathematics
Chapter 10- image 107andNCERT Solutions Class 12 Mathematics
Chapter 10- image 108, where NCERT Solutions Class 12 Mathematics
Chapter 10- image 109andNCERT Solutions Class 12 Mathematics
Chapter 10- image 110.

Solution:

It is given that,

NCERT Solutions Class 12 Mathematics
Chapter 10- image 111

NCERT Solutions Class 12 Mathematics
Chapter 10- image 112

Solution:

Firstly,

NCERT Solutions Class 12 Mathematics
Chapter 10- image 113

4. Show that

NCERT Solutions Class 12 Mathematics
Chapter 10- image 114

Solution:

Firstly consider the LHS,

We have,

NCERT Solutions Class 12 Mathematics
Chapter 10- image 115

5. Find λ and μ if NCERT Solutions Class 12 Mathematics
Chapter 10- image 116.

Solution:

It is given that,

NCERT Solutions Class 12 Mathematics
Chapter 10- image 117

NCERT Solutions Class 12 Mathematics
Chapter 10- image 118

NCERT Solutions Class 12 Mathematics
Chapter 10- image 119

NCERT Solutions Class 12 Mathematics
Chapter 10- image 120

Solution:

It is given that,

NCERT Solutions Class 12 Mathematics
Chapter 10- image 121

NCERT Solutions Class 12 Mathematics
Chapter 10- image 122

Solution:

Firstly let us consider,

NCERT Solutions Class 12 Mathematics
Chapter 10- image 123

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,

NCERT Solutions Class 12 Mathematics
Chapter 10- image 124

10. Find the area of the parallelogram whose adjacent sides are determined by the vector NCERT Solutions Class 12 Mathematics
Chapter 10- image 125.

Solution:

Let us consider,

NCERT Solutions Class 12 Mathematics Chapter 10- image 126

NCERT Solutions Class 12 Mathematics
Chapter 10- image 127

Solution:

Explanation:

NCERT Solutions Class 12 Mathematics
Chapter 10- image 128

12. Area of a rectangle having vertices A, B, C, and D with position vectors NCERT Solutions Class 12 Mathematics
Chapter 10- image 129and NCERT Solutions Class 12 Mathematics
Chapter 10- image 130 respectively is

NCERT Solutions Class 12 Mathematics
Chapter 10- image 131

Solution:

Explanation:

NCERT Solutions Class 12 Mathematics
Chapter 10- image 132

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