RBSE Solutions for Class 12 Maths Chapter 13 Vector Ex 13.2

RBSE Solutions for Class 12 Maths Chapter 13 Vector Ex 13.2

Rajasthan Board RBSE Class 12 Maths Chapter 13 Vector Ex 13.2

RBSE Solutions For Class 12 Maths Chapter 13.2 Question 1.
If magnitude of two vectors be 4 and 5 units, then find scalar product of them, where angle between them be :
(i) 60°
(ii) 90°
(iii) 30°
Solution:

RBSE Solutions For Class 12 Maths Chapter 13 Question 2.
Find .  , if  and  are as follow :


Solution:

Exercise 13.2 Class 12 RBSE Question 3.
Prove that:

Solution:

RBSE Class 12 Maths Chapter 13 Question 4.
If coordinates of P and Q are (3, 4) and (12, 4) respectively, then find ∠POQ where O is origin.
Solution:

Exercise 13.2 Class 12 Question 5.
For which value of λ, vectors  and  are mutually perpendicular :

Solution:

Maths RBSE Solutions Class 12 Question 6.
Find the projection of the vector

on the vector

Solution:

12th Class RBSE Solution Question 7.
If

and

then find a vector , so that , ,  represents the sides of a right angled triangle.
Solution:
Given that

RBSE Solution 12th Class Question 8.
If | +  | = |  –  |, then prove that and  are mutually perpendicular vectors.
Solution:
According to question,

RBSE Solution Class 12th English Question 9.
If coordinates of points A, B, C and D are (3, 2, 4), (4, 5, -1), (6, 3, 2) and (2, 1, 0) respectively, then prove that lines  and  are mutually erpendicular.
Solution:
Given that coordinates of points A, B, C and D are (3,2,4), (4,5,-1), (6,3,2) and (2,1,0) respectively.
Then position vectors of A, B, C and D with respect to origin are

RBSE Solution Class 12th Maths Question 10.
For any vector , prove that

Solution:

RBSE Solutions Of Class 12 Question 11.
Use vectors to prove that sum of square of diagonal of a parallelogram is equal to the sum of square of their side.
Solution:
Let OACB is a parallelogram. Taking O as origin, the position vectors of A and B are  and  respectively.

∴ Sum of the squares of diagonals = sum of the squares of sides.
Hence the sum of square of diagonals of a parallelogram is equal to the sum of square of their sides.