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# Class 12-science RD SHARMA Solutions Maths Chapter 23 - Algebra of Vectors

## Algebra of Vectors Exercise Ex. 23.1

### Solution 1(ii)

Here, vector  represents the displacement of 50 km, south-east.

### Solution 1(iii)

Here, vector  represents the displacement of 70 km, 40° north of west.

### Solution 2

(i) 15 kg is a scalar quantity because it involves only

(ii) 20 kg weight is a vector quantity as it involves both magnitude and direction.

(iii) 45° is a scalar quantity as it involves only magnitude.

(iv) 10 metres south-east is a vector quantity as it involve direction.

(v) 50 m/s2 is a scalar quantity as it involves magnitude of acceleration.

## Algebra of Vectors Exercise MCQ

### Solution 1

Correct option:(a)

### Solution 2

Correct option:(c)

### Solution 3

Correct option: (c)

### Solution 4

Correct option: (d)

### Solution 5

Correct option: (b)

### Solution 6

Correct option: (b)

### Solution 7

Correct option: (b)

### Solution 8

Correct option: (c)

### Solution 9

Correct option: (b)

### Solution 10

Correct option: (b)

### Solution 11

Correct option: (d)

### Solution 12

Correct option: (a)

### Solution 13

Correct option: (d)

### Solution 14

Correct option: (a)

### Solution 15

Correct option: (a)

### Solution 16

Correct option: (c)

### Solution 17

Correct option: (d)

### Solution 18

Correct option: (d)

### Solution 19

Correct option: (c)