These NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.1 Questions and Answers are prepared by our highly skilled subject experts.
NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.1
Question 1.
Represent graphically a displacement of 40 km, 30° east of north.
Solution:
The vector \(\overrightarrow{OP}\) represents the required displacement of 40 km, 30° east of north.
Question 2.
Classify the following measures as scalars and vectors.
(i) 10 kg
(ii) 2 metres north- west
(iii) 40°
(iv) 40 watt
(v) 10-19 coulomb
(vi) 20 m/sec².
Solution:
(i) Mass-scalar
(ii) Directed distance-vector
(iii) Temperature-scalar
(iv) Rate of electricity-scalar
(v) Electric charge-vector
(vi) Acceleration-vector
Question 3.
Classify the following as scalar and vector quantities
(i) time period
(ii) distance
(iii) force
(iv) velocity
(v) work.
Solution:
Scalar Quantity: (i) time period (ii) distance (v) work.
Vector Quantity: (iii) force (iv) velocity
Question 4.
In a square, identify the following vectors.
(i) Co-initial
(ii) Equal
(iii) collinear but not equal
Solution:
a. Coinitial
b. Equal
c. Collinear but not equal
(i) Co initial vectors are \(\overrightarrow { a } ,\overrightarrow { d } \)
(ii) Equal Vectors are \(\overrightarrow { b } ,\overrightarrow { d } \)
(iii) Collinear but not equal vectors are \(\overrightarrow { a } ,\overrightarrow { c } \)
Question 5.
Answer the following as true or false:
(i) \(\overrightarrow { a } ,\overrightarrow { -a } \) are collinear.
(ii) Two collinear vectors are always equal in magnitude.
(iii) Two vectors having same magnitude are collinear.
(iv) Two collinear vectors having the same magnitude are equal.
Solution:
(i) True
(ii) False
(iii) False
(iv) False.