PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 11

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Important Questions on Vectors

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IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 12

If unit vector

\vec{a} = a_{1} \hat{i} + a_{2} \hat{j} + a_{3} \hat{k}

. The possible values of

a_{1}

,

a_{2}

and

a_{3}

are

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 13

A force of

\sqrt{3} N

makes equal angles with

X -

axis and

Z -

axis. The possible value of force is

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 14

Find the component of a

50 N

force which makes an angle of

45 °

with

Z -

axis and whose projection in

X Y

-

plane makes

45 °

with the

X -

axis.

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 15

If

\vec{a} = 3 \hat{i} + 4 \hat{j}

and

\vec{b} = 4 \hat{i} - 3 \hat{j}

, then

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 16

A ray of light is incident along vector

\frac{1}{\sqrt{2}} \hat{i} - \frac{1}{\sqrt{2}} \hat{j} + \hat{k}

on plane mirror placed in

X Y

-plane normal on incidence point is along

Z -

axis.

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 17

If

\vec{C}

is perpendicular to

\vec{r} = x \hat{i} + y \hat{j}

, the possible values of

\vec{C}

are,

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IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 18

Which of the following is perpendicular to

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

?

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PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 3 - Vectors>Exercises>Q 19

Angular momentum of a particle $P$ about point $O$ is $\vec{L} = \vec{O} P \times m \vec{v}$ ,

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where $m$ is the mass of particle and $v$ is its velocity. $A$ particle of mass $2 kg$ is moving with speed $10 m s^{- 1}$ as shown in the figure. Which of the following statements is/are correct.