Two vectors $A$ and $B$ are parallel when

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 3

Two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ 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

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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 5

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

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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 6

Consider a vector $F=4i-3j$. Another vector that is perpendicular to $\overrightarrow{F}$ is

EASY

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 7

The angle between the vectors $\left(\hat{\mathrm{i}}+\hat{\mathrm{j}}\right)$ and $\left(\hat{\mathrm{j}}+\hat{\mathrm{k}}\right)$ is,

MEDIUM

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 8

The resultant of two vectors that are at right angles to each other is $80$ units. If the resultant is inclined at an angle $60°$ with one vector, then the magnitudes of the vectors are:

HARD

11th West Bengal Board

IMPORTANT

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

In still water, the velocity of a boat is $5 \mathrm{km} {\mathrm{h}}^{-1}$. The boat crosses a river $1 \mathrm{km}$ wide directly in $15$ minutes. The velocity of the current is:

MEDIUM

11th West Bengal Board

IMPORTANT

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

When the angle between the vector $\overrightarrow{a}$ and $\overrightarrow{b}$ is $\theta$, their resultant is $5\sqrt{a^2+b^2}$. When the angle is $\left(90°-\theta \right)$ the resultant is $3\sqrt{a^2+b^2}$. In this condition $\tan \theta$ is