NCERT Solutions for Class 12 Maths Vector Algebra
Hi Students, Welcome to Amans Maths Blogs (AMB). In this post, you will get the NCERT Solutions for Class 12 Maths Vector Algebra Exercise 10.1.
As we know that all the schools affiliated from CBSE follow the NCERT books for all subjects. You can check the CBSE NCERT Syllabus. Thus, NCERT Solutions helps the students to solve the exercise questions as given in NCERT Books.
NCERT Solutions for class 12 is highly recommended by the experienced teacher for students who are going to appear in CBSE Class 12 and JEE Mains and Advanced and NEET level exams. Here You will get NCERT Solutions for Class 12 Maths Vector Algebra Exercise 10.1 of all questions given in NCERT textbooks of class 12 in details with step by step process.
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NCERT Solutions for Class 12 Maths Vector Algebra
NCERT Solutions for Class 12 Maths Vector Algebra Exercise 10.1: Ques No 1.
Represent graphically a displacement of 40 km, 30° east of north.
NCERT Solutions:
On a scale of 1 cm = 10 km, we draw a line segment of length 4 cm on the right of ON, making an angle of 30 degree with ON.
Thus, the vector 
represents displacement of 40 km, 30 degree east of north.
NCERT Solutions for Class 12 Maths Vector Algebra Exercise 10.1: Ques No 2.
Classify the following measures as scalars and vectors.
(i) 10 kg
(ii) 2 meters north-west
(iii) 40°
(iv) 40 watt
(v) 10–19 coulomb
(vi) 20 m/s2
NCERT Solutions:
(i) 10 kg has magnitude only. So, this is a Scalar Quantity.
(ii) 2 meters north-west has both magnitude and direction. So, this is a Vector Quantity.
(iii) 40° has magnitude only. So, this is a Scalar Quantity.
(iv) 40 watt has magnitude only. So, this is a Scalar Quantity.
(v) 10–19 coulomb has magnitude only. So, this is a Scalar Quantity.
(vi) 20 m/s2 is an acceleration which has both magnitude and direction. So, this is a Vector Quantity.
NCERT Solutions for Class 12 Maths Vector Algebra Exercise 10.1: Ques No 3.
Classify the following as scalar and vector quantities.
(i) time period
(ii) distance
(iii) force
(iv) velocity
(v) work done
NCERT Solutions:
(i) time period has magnitude only, so this is a Scalar Quantity.
(ii) distance has magnitude only, so this is a Scalar Quantity.
(iii) force has magnitude and direction both, so this is a Vector Quantity.
(iv) velocity has magnitude and direction both, so this is a Vector Quantity.
(v) work done has magnitude only, so this is a Scalar Quantity.
NCERT Solutions for Class 12 Maths Vector Algebra Exercise 10.1: Ques No 4.
In Fig 10.6 (a square), identify the following vectors.
(i) Coinitial (ii) Equal (iii) Collinear but not equal
NCERT Solutions:
(i) The vectors 
and 
start from same point, so and are co-initial vectors.
(ii) The vectors 
and have equal magnitude and same direction, so and are equal vectors.
(ii) The vectors and 
have equal magnitude but opposite direction, so and are collinear but not equal vectors.
NCERT Solutions for Class 12 Maths Vector Algebra Exercise 10.1: Ques No 5.
Answer the following as true or false.
(i) and − 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
NCERT Solutions:
(i) True.
(ii) False
(iii) False.
(iv) True
