Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 3 - Vectors>DPP>Q 8

EASY

JEE Main

IMPORTANT

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A person goes $10 km$ north and $20 km$ east. What will be displacement from initial point?

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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 9

If the resultant of

N

forces of different magnitudes acting at a point is zero, then the minimum value of

N

is

EASY

JEE Main

IMPORTANT

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

A force of

5 N

acts on a particle along a direction, making an angle of

60 °

with vertical. Its vertical component will be

EASY

JEE Main

IMPORTANT

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

Y

component of velocity is

20

and

X

component of velocity is

10

. The direction of motion of the body with the horizontal at this instant is

EASY

JEE Main

IMPORTANT

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

A car travels

6 km

towards north at an angle of

45 °

to the east and then travels distance of

4 km

towards north at an angle of

135 °

to the east. How far is the point from the starting point? What angle does the straight line joining its initial and final position make with the east?

EASY

JEE Main

IMPORTANT

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

A vector

\vec{a}

is turned without a change in its length through a small angle

dθ

. The value of

|∆ \vec{a}|

and

∆ a

are, respectively,

MEDIUM

JEE Main

IMPORTANT

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

Find the resultant of three vectors $\vec{O A}, \vec{O B}$ and $\vec{O C}$ shown in the following figure. Radius of the circle is $R$ .

Question Image

EASY

JEE Main

IMPORTANT

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

Two forces, each of magnitude

F

have a resultant of the same magnitude

F

. The angle between the two forces is

EASY

JEE Main

IMPORTANT

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

The resultant of

\vec{A} + \vec{B}

is

{\vec{R}}_{1}

. On reversing the vector

\vec{B}

, the resultant becomes

{\vec{R}}_{2} .

What is the value of

R_{1}^{2} + R_{2}^{2} ?