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. https://mcq-questions.com/ncert-solutions-for-class-12-maths-chapter-10-ex-10-1/
NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.1
Ex 10.1 Class 12 NCERT Solutions 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.
Exercise 10.1 Class 12 NCERT Solutions 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.