RBSE Solutions for Class 12 Maths Chapter 13 Vector Ex 13.1
RBSE Solutions for Class 12 Maths Chapter 13 Vector Ex 13.1
Rajasthan Board RBSE Class 12 Maths Chapter 13 Vector Ex 13.1
RBSE Solutions For Class 12 Maths Chapter 13 Question 1.
Compute the magnitude of the following vectors :
Solution:
RBSE Solutions For Class 12 Maths Chapter 13.1 Question 2.
Write two different vectors having same magnitude.
Solution:
RBSE Class 12 Maths Chapter 13 Question 3.
Write two different vectors having same direction.
Solution:
Exercise 13.1 Class 12 Question 4.
Find the values of x and y so that the vectors 2 iˆ + 3 jˆ and x iˆ + y jˆ are equal.
Solution:
Two vectors are equal if their corresponding coefficients are equal
⇒ 2 = x and 3 = y
x = 2 and y = 3.
12 Maths RBSE Solution Question 5.
Find the scalar and vector components of the vector with initial point (2,1) and terminal point (- 5,7).
Solution:
Coordinates of initial point A are (2, 1).
and coordinates of terminal point B are (- 5, 7)
Now from formula
Ex 13.1 Class 10 RBSE Question 6.
Solution:
12th Maths RBSE Solution Question 7.
Find the unit vector in the direction of the vector aˆ = iˆ + jˆ + 2 kˆ
Solution:
RBSE Solution Class 12 Maths Question 8.
Find the unit vector in the direction of vector 
where P and Q are the points (1,2,3) and (4,5,6).
Solution:
RBSE Solutions For Class 10 Maths Chapter 13.1 Question 9.
For the given vectors,
and
Find the unit vector in the direction of the vector 
Solution:
Class 12 Chapter 13 Exercise 13.1 Question 10.
Find a vector in the direction of vector
which has magnitude 8 units.
Solution:
Class 12 Maths Chapter 13 Exercise 13.1 Question 11.
Show that the vectors
and are collinear.
Solution:
Maths Class 12 RBSE Question 12.
Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are
and
respectively in the ratio 2:1.
(i) internally (ii) externally.
Solution:
Ch 13 Maths Class 12 Question 13.
Find the position vector of the midpoint of the vector joining the points P(2,3,4) and Q(4, 1, -2).
Solution:
Class 12 Maths RBSE Solutions Question 14.
Show that the points A, B and C with position vectors,
and
respectively from the vertices of a right angled triangle.
Solution:
Let O is the origin, then according to question,
Hence ∆ABC is a right angled triangle,
or point A, B and C are the vertices of a right angled triangle.
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