RBSE Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.1

Rajasthan Board RBSE Solutions for Class 12 Maths Chapter 10 Vector Algebra Ex 10.1 Textbook Exercise Questions and Answers.

RBSE Class 12 Maths Solutions Chapter 10 Vector Algebra Ex 10.1

Question 1.
Represent graphically a displacement of 40 km, 30° east of north.
Answer:
In the given figure, vector \(\overrightarrow{O P}\) represents the required displacement.

Question 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
Answer:
Scalar quantity:
(i) 10 kg,
(ii) 40°,
(iv) 40 watt
(v) 10^-19 coulomb.

Vector quantity:
(ii) 2 meters north-west,
(vi) 20 m/s².

Question 3.
Classify the following as scalar and vector quantifies.
(j) time period,
(ii) distance,
(iii) force,
(iv) velocity,
(v) work done.
Answer:
Scalar quantity:
(i) time period,
(ii) distance,
(v) work done.

Vector quantity:
(iii) force,
(iv) velocity.

Question 4.
In given figure (a square), identify the following vectors.

(i) Coinitial
Answer:
Vector \(\overrightarrow{A B}\) = \(\vec{a}\)
and \(\overrightarrow{A D}\) = \(\vec{d}\)

(ii) Equal
Answer:
\(\overrightarrow{A D}=\vec{d}\), \(\overrightarrow{B C}=\vec{b}\)

(iii) Collinear but not equal
Answer:
\(\overrightarrow{A B}=\vec{a}\), \(\overrightarrow{C D}=\vec{c}\)

Question 5.
Answer the following as true or false.
(i) \(\vec{a}\) and - \(\vec{a}\) are collinear.
Answer:
True

(ii) Two collinear vector are always equal in magnitude.
Answer:
False

(iii) Two vectors having same magnitude are collinear.
Answer:
False

(iv) Two collinear vectors having the same magnitude are equal.
Answer:
False