Bureau's Higher Secondary Physics Class 11>Chapter 2 - Scalars and Vectors>MODEL QUESTIONS>Q 4

MEDIUM

11th Odisha Board

IMPORTANT

Earn 100

If $\vec{A}, \vec{B}, \vec{C}$ are mutually perpendicular, then find the value of $\vec{C} \times (\vec{A} \times \vec{B}) .$ .

50% studentsanswered this correctly

Important Questions on Scalars and Vectors

HARD

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 11>Chapter 2 - Scalars and Vectors>MODEL QUESTIONS>Q 5

The mid-points of the sides of a quadrilateral are connected. Prove that the resulting quadrilateral is a parallelogram.

HARD

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 11>Chapter 2 - Scalars and Vectors>MODEL QUESTIONS>Q 6

If

AB

be the diameter of a circle and

C

is any point on the circumference of the circle. Prove by vector method that angle

ACB

is right angle.

EASY

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 11>Chapter 2 - Scalars and Vectors>MODEL QUESTIONS>Q 7

The diagonals of a parallelogram are represented by

{\vec{R}}_{1} = 3 \hat{i} - 2 \hat{j} + 7 \hat{k}, {\vec{R}}_{2} = 5 \hat{i} + 6 \hat{j} - 3 \hat{k}

, find the area of the parallelogram.

EASY

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 11>Chapter 2 - Scalars and Vectors>MODEL QUESTIONS>Q 8

A particle gets displaced through

\hat{i} + 2 \hat{j} - 4 \hat{k}

due to a force

2 \hat{i} - 3 \hat{j} - 6 \hat{k}

. The displacement and force are measured in S.I. units. Find the work done.

MEDIUM

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 11>Chapter 2 - Scalars and Vectors>MODEL QUESTIONS>Q 9

Show that

\vec{A} \times \vec{B}

is perpendicular to both

\vec{A}

and

\vec{B}

.

MEDIUM

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 11>Chapter 2 - Scalars and Vectors>MODEL QUESTIONS>Q 10

Show that

\vec{A} \cdot \vec{B} = \frac{1}{4} [| \vec{A} + \vec{B} |^{2} - | \bar{A} - \vec{B} |^{2}]

.

HARD

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 11>Chapter 2 - Scalars and Vectors>MODEL QUESTIONS>Q 1

State Parallelogram law of vectors and derive an expression for the resultant of two vectors

\vec{P}

and

\vec{Q}

.

HARD

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 11>Chapter 2 - Scalars and Vectors>MODEL QUESTIONS>Q 2

State triangle law of vectors, and derive an expression for the resultant of the vectors

\vec{A}

and

\vec{B}

.