# NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.1

In this chapter, we provide NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.1 for English medium students, Which will very helpful for every student in their exams. Students can download the latest NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.1 pdf, free NCERT solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.1 book pdf download.

## NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.1

Ex 10.1 Class 12 Maths Question 1.
Represent graphically a displacement of 40km, 30° east of north.
Solution:
A line segment of 2 cm is drawn on the right of OY making an angle of 30° with it. OP = 40 km,
scale 1cm = 20 km. Vector $overrightarrow { OP }$ represents displacement of 40 km 30° east of north.

Ex 10.1 Class 12 Maths 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

Ex 10.1 Class 12 Maths 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

Ex 10.1 Class 12 Maths Question 4.
In a square, identify the following vectors
(i) Co-initial
(ii) Equal
(iii) collinear but not equal
Solution:
(i) Co initial vectors are $overrightarrow { a } ,overrightarrow { d }$
(ii) Equal Vectors are $overrightarrow { b } ,overrightarrow { d }$
(iii) Collinear but not equal vectors are $overrightarrow { a } ,overrightarrow { c }$

Ex 10.1 Class 12 Maths 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.

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