- What is vector
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- Difference between Scalar and Vector
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- Type Of Vectors
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- Addition Of vector
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- Subtraction of vectors
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- Scalar multiplication of vectors
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- Components of the vector
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- Multiplication of two vectors
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- Dot product of vectors
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- Cross product of vectors
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- Triple product
- How to solve vector algebra problems

In this page we have *NCERT Solutions for Class 12 Maths Chapter 10: Vector Algebra* for
EXERCISE 10.1 . Hope you like them and do not forget to like , social share
and comment at the end of the page.

Graphically represent a 40 km displacement towards 30

$\overrightarrow{OP}$ represent a 40 km displacement towards 30

Categorize the following measures as vectors and scalars.

(a) 10 kg

(b) 2 meters north - south

(c) 40

(d) 40 watt

(e) 10

(f) 20 m / s

(a) In 10 kg, only magnitude is involved. So, it is a scalar quantity.

(b) In 2 meters north - south, both the direction and magnitude are involved. So, it is a vector quantity

(c) In 40

(d) In 40 watt, only magnitude is involved. So, it is a scalar quantity.

(e) In 10

(f) In 20 m / s

Categorize the following quantities as vector and scalar.

(a) Time period

(b) distance

(c) force

(d) Velocity

(e) work done

(a) In time period, only magnitude is involved. So, scalar quantity

(b) In distance, only magnitude is involved. So, it is a scalar quantity.

(c) In force, both the direction and magnitude are involved. So, it is a vector quantity

(d) In velocity, both the direction and magnitude are involved. So, it is a vector quantity

(e) In work done, only magnitude is involved. So, it is a scalar quantity.

(a) Coinitial

(b) Equal

(c) Collinear but not equal

(a) We know that Coinitial vectors are those vectors which have same initial point. So, $\overrightarrow{a} \;and\; \overrightarrow{d}$ vectors are coinitial.

(b) We know that Equal vectors are vectors which have same magnitude and direction. So, $\overrightarrow{b} \;and\; \overrightarrow{d}$ vectors are equal.

(c) We know Collinear but not equal are those vectors which are parallel but has different directions. So, $\overrightarrow{a} \;and\; \overrightarrow{c}$ vectors are collinear but not equal.

Check whether the following statements are true or false.

(a)$\overrightarrow{b} \;and\; \overrightarrow{- b}$ vectors are collinear

(b)The magnitudes of the two collinear are always equal.

(c)Collinear vectors are the two vectors having same magnitude.

(a) True because the two vectors are parallel .

(b)False because collinear vectors must be parallel.

(c)False.

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