A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 9

MEDIUM

11th West Bengal Board

IMPORTANT

Earn 100

What is the angle between the two vector $(i + j)$ and $(j - i)$ ?

Important Questions on Scalars and Vectors

EASY

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 10

The magnitude of the vector sum of two vectors is found to be equal to the sum of their magnitudes. How this is possible ?

EASY

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 11

Which of the following quantities are independent of the choice of orientation of the co-ordinate axes?

\vec{a} + \vec{b}, 3 {\vec{a}}_{x} + 2 {\vec{b}}_{y}, | \vec{a} + \vec{b} + \vec{c} |

, angle between

b

and

c, m

where

m

is a scalar.

MEDIUM

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 12

A vector has magnitude and direction. Does it have a location? Will two equal vectors

a

and

b

at different locations in space necessarily have identical physical effects?

HARD

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 13

Establish the following vector inequalities geometrically or otherwise :

$| a + b | \leq | a | + | b |$

EASY

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 13

Establish the following vector inequalities geometrically or otherwise :

$| a + b | \geq | a | - | b |$

EASY

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 13

Establish the following vector inequalities geometrically or otherwise :

$| a - b | \leq | a | + | b |$

HARD

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 13

Establish the following vector inequalities geometrically or otherwise :

$| a - b | \geq | a | - | b |$

MEDIUM

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 14

Why is it often very convenient to resolve vector into rectangular components?