A particle is moving with speed 6 m s - 1 along the direction of A → = 2 i ^ + 2 j ^ − k ^ . Then its velocity is

4 i ^ + 4 j ^ − 2 k ^ m s - 1

4 i ^ + 2 j ^ − 4 k ^ m s - 1

( 4 i ^ + 4 j ^ − 4 k ^ ) m s - 1

2 i ^ + 4 j ^ − 2 k ^ m s - 1

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 4 - Motion in a Plane>TOPICWISE QUESTIONS>Q 31

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For the situation shown below, what will be the magnitude of minimum force (in Newton) that can be applied in $y$ direction so that, the resultant force is along the east direction?

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Important Questions on Motion in a Plane

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 4 - Motion in a Plane>TOPICWISE QUESTIONS>Q 32

If

\vec{A}

and

\vec{B}

are two non-zero vectors such that,

| \vec{A} + \vec{B} | = \frac{| \vec{A} - \vec{B} |}{2}

and

|\vec{A}| = 2 |\vec{B}|

, then the angle between

\vec{A}

and

\vec{B}

is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 4 - Motion in a Plane>TOPICWISE QUESTIONS>Q 33

A particle is moving with speed

6 m s^{- 1}

along the direction of

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

. Then its velocity is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 4 - Motion in a Plane>TOPICWISE QUESTIONS>Q 34

The column $‐ I$ shows vector diagrams relating three vectors $\vec{a}$ , $\vec{b}$ and $\vec{c}$ . Match the vector equations in the column $‐ II$ , with vector diagrams in the column $‐ I$ .

	Column $‐ I$		Column $‐ II$
$(A)$		$(p)$	$\vec{a} - (\vec{b} + \vec{c}) = 0$
$(B)$		$(q)$	$\vec{b} - \vec{c} = \vec{a}$
$(C)$		$(r)$	$\vec{a} + \vec{b} = - \vec{c}$
$(D)$		$(s)$	$\vec{a} + \vec{b} = \vec{c}$

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 4 - Motion in a Plane>TOPICWISE QUESTIONS>Q 35

If $| \vec{a} | = 3 \sqrt{2}$ and $| \vec{b} | = 6 \sqrt{2}$ , then $x -$ component of $(\vec{a} + \vec{b})$ is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 4 - Motion in a Plane>TOPICWISE QUESTIONS>Q 37

The torque of the force

\vec{F} = (2 \hat{i} - 3 \hat{j} + 4 \hat{k}) N

acts at the point

\vec{r} = (3 \hat{i} + 2 \hat{j} + 3 \hat{k}) m

about the origin be

(\vec{τ} = \vec{r} \times \vec{F})

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 4 - Motion in a Plane>TOPICWISE QUESTIONS>Q 38

The expression

(\frac{1}{\sqrt{2}} \hat{i} + \frac{1}{\sqrt{2}} \hat{j})

is a

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I NEET>Chapter 4 - Motion in a Plane>TOPICWISE QUESTIONS>Q 39

The figure shows three vectors $\vec{a}, \vec{b}$ and $\vec{c}$ . Here, $R$ is the midpoint of $P Q$ . Then which of the following relations is correct?