Mathematical Methods : Exercise Solution : Class 11th Physics Chapter 2 - Maharashtra State Board All Questions and Answers

Standard XI Physics Chapter 2 - Mathematical Methods Exercise

Mathematical Methods

1. Choose the correct option. 

i) The resultant of two forces 10N and 15N acting along the + x and -x axis respectively,  is 

A) 25 N along + x-axis
B) 25  N along - x-axis
C) 5 N along + x-axis
D) 5 N along - x-axis

Answer : D) 5 N along - x-axis

ii) For two vectors to be equal,  they should have the 

A) same magnitude
B) same direction 
C) same magnitude and direction
D) same magnitude but opposite direction

Answer : C) same magnitude and direction

iii) The magnitude of scalar product of two unit vectors perpendicular to each other is 

A) zero
B) 1
C) -1 
D) 2 

Answer : A) zero

iv) The magnitude of vector product of two unit vectors making an angle 60 degree with each other is 

A) 1
B) 2
C) 3/2
D) root3/2

Answer : D) root3/2

v) If A, B and C are three vectors, then which of the following is not correct ? 

A) A. (B + C ) = A. B + A. C
B) A. B = B. A
C) AxB = BxA 
D) A x ( B + C ) = A x B + B x C

Answer : C ) AxB = BxA

2. Answer the following questions. 

i) Show that a = i - j / root 2 is a unit vector

( question is given in image also)

Answer : coming soon..

ii) If v1 = 3i + 4j + k and v2 = i - j - k,  determine the  magnitude of v1 + v2.
(question is given in image also )

Answer : coming soon... 

iii) For v1 = 2i - 3 j and v2 = -6i + 5j,  determine the magnitude and direction of v1+v2. 
(question is also given in image below)

Answer : coming soon....

iv) Find a vector which is parallel to v = i - 2j and has a magnitude 10. (question is also given in image below)

Answer : coming soon... 

v) Show that vectors a = 2i + 5j - 6k and b = i + 5/2 j - 3k are parallel.  ( question is also given in image below)

Answer : coming soon... 


3. Solve the following problems