Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 3 - Vectors>DPP>Q 10

EASY

JEE Main

IMPORTANT

Earn 100

Two forces $3 N$ and $2 N$ are at an angle $θ$ such that the resultant is $R$ . The first force is now increased to $6 N$ and the resultant become $2 R$ . The value of $θ$ is:

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Important Questions on Vectors

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 3 - Vectors>DPP>Q 11

If

|\vec{A} + \vec{B}| = |\vec{A}| + | \vec{B} |

, then the angle between

\vec{A}

and

\vec{B}

will be:

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 3 - Vectors>DPP>Q 12

The maximum and minimum magnitude of the resultant of two vectors are

17

units and

7

units respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is:

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 3 - Vectors>DPP>Q 13

Two equal forces (

P

each) act at a point inclined to each other at an angle of

120 °

. The magnitude of their resultant is:

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 3 - Vectors>DPP>Q 14

The sum of the magnitudes of two forces acting at a point is

18

and the magnitude of their resultant is

12

. If the resultant is at

90 °

with the force of smaller magnitude, what are the magnitudes of forces?

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 3 - Vectors>DPP>Q 15

Three forces

P

,

Q

and

R

are acting on a particle in the plane. The angle between

P

and

Q

is

150 °

and between

Q

and

R

is

120 °

. Then, for equilibrium condition, the forces

P

,

Q

and

R

are in the ratio of

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 3 - Vectors>DPP>Q 1

If a particle moves from the point

P (2, 3, 5)

to the point

Q (3, 4, 5)

, its displacement vector be

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 3 - Vectors>DPP>Q 2

\vec{A} = 2 \hat{i} + \hat{j}, \vec{B} = 3 \hat{j} - \hat{k}

and

\vec{C} = 6 \hat{i} - 2 \hat{k}

. The value of

\vec{A} - 2 \vec{B} + 3 \vec{C}

would be

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 3 - Vectors>DPP>Q 3

Two forces

F_{1} = 1 N

and

F_{2} = 2 N

act along the lines

x = 0

and

y = 0

, respectively. Then the resultant of forces would be