A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 17

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$\vec{A}$ and $\vec{B}$ are two vectors given by $\vec{A} = 2 \hat{i} + 3 \hat{j}$ and $\vec{B} = \hat{i} + \hat{j}$ . The magnitude of the component of $\vec{A}$ along $\vec{B}$ is

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Important Questions on Scalars and Vectors

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11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 18

Given

\vec{C} = \vec{A} \times \vec{B}

and

\vec{D} = \vec{B} \times \vec{A}

, what is the angle between

\vec{C}

and

\vec{D}

?

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 19

Twelve equal coplanar vectors have resultant null vector. The angle between two adjacent vectors is

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 20

The vector

\vec{P} = \hat{i} + 2 \hat{j} + 4 \hat{k}

and

\vec{Q} = 5 \hat{i}

represent the sides of a triangle, then the third side of the triangle can have length equal to

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 21

The vectors

\vec{P} = 2 \hat{i} + p \hat{j} + q \hat{k}

and

\vec{B} = 5 \hat{i} + 7 \hat{j} + 3 \hat{k}

are parallel to each other. The values

p

and

q

are respectively_____.

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 22

If a vector

\vec{P}

is perpendicular to

\vec{Q}

, then

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 23

Vector

\vec{A}, \vec{B}

and

\vec{C}

satisfy the relations

\vec{A} \cdot \vec{B} = 0

and

\vec{A} \cdot \vec{C} = 0

. The vector

\vec{A}

is parallel to

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11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 24

A Force of

(3 \vec{i} + 4 \vec{j}) N

acts on a body and displaces it by

(3 \hat{i} + 4 \hat{j}) m

. The work done by the force is

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IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 25

The sum of the magnitudes of two forces is

18

and magnitude of the resultant is

12

. If the resultant is at

90 °

with the force of smaller magnitude, then their magnitudes are