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

MEDIUM

11th West Bengal Board

IMPORTANT

Earn 100

$\hat{i} - \hat{j} - \hat{k}$ and $2 \hat{i} + \hat{j} + \hat{k}$ are two vectors represented by the two sides of a triangle. Determine the angle between the two sides and the length of the third side.

Important Questions on Scalars and Vectors

MEDIUM

11th West Bengal Board

IMPORTANT

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

A point

A

is situated on the circumference of a circle of diameter

C B

. Prove by the properties of vectors that the angle

C A B

is a right angle.

HARD

11th West Bengal Board

IMPORTANT

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

The position vectors of two points are

\vec{R_{1}}

and

\vec{R_{2}}

. Find the position vector of the middle points of the line joining the two points.

HARD

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 15

The position vectors of two points with respect to an origin

O

are

\vec{r_{1}}

and

\vec{r_{2}}

. Now the origin is shifted to

O^{'}

. The position vectors of the points with respect to the new origin are found to be

{\vec{r}}_{1}

and

{\vec{r}}_{2}^{'}

respectively. Prove that

\vec{r_{2}} - \vec{r_{1}} = \vec{r_{2}^{'}} - \vec{r'_{1}}

.

EASY

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IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 1

Out of the following the only quantity that is vector is

EASY

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 2

Two vectors

A

and

B

are parallel when

EASY

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 3

Two vectors

\vec{A}

and

\vec{B}

are perpendicular when:

MEDIUM

11th West Bengal Board

IMPORTANT

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

The scalar product of two vectors

A

and

B

satisfies

HARD

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 5

The sum and difference of two vectors have the same magnitude. The angle between them is: