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Vectors and Equilibrium - Set 1

Home
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NUST Entrance Test
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Physics
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Vectors and Equilibrium

Set 1

MM

Mashaal Masha

Oct 11, 2022

On this page

$Choose the set of physical quantities which have both numerical and directional properties:$
$The direction of a vector in space requires:$
$$n\overrightarrow{A}$ has same direction as that of $\overrightarrow{A}$ when n is ______$
$If n represents a physical quantity in the product $n\overrightarrow{A}$, then dimensions of $n\overrightarrow{A}$ will be:$
$When $\overrightarrow{A}$ is added to its negative, we get:$
$Two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ are said to be equal if they have:$
$The direction of a vector in space is specified by:$
$Parallel vectors of same magnitudes:$
$If a vector $\overrightarrow{A}$ makes an angle $\theta$ with x-axis, then:$
$In a triangle OPQ, if $Q=90^{\circ} and OP is hypotenuse, then:$

Choose the correct options for the following questions.

Choose the set of physical quantities which have both numerical and directional properties:

Difficulty: Easy

A:

Velocity, mass

B:

Speed, acceleration

C:

Acceleration, weight

D:

Distance, force

The direction of a vector in space requires:

Difficulty: Easy

A:

X-axis

B:

X and Y axis

C:

When $\overrightarrow{A}$ is added to its negative, we get:

D:

Y and Z axis

$n\overrightarrow{A}$ has same direction as that of $\overrightarrow{A}$ when n is ______

Difficulty: Easy

A:

positive

B:

negative

C:

zero

D:

A and B

If n represents a physical quantity in the product $n\overrightarrow{A}$, then dimensions of $n\overrightarrow{A}$ will be:

Difficulty: Easy

A:

Same as that of $\overrightarrow{A}$

B:

Zero

C:

Product of dimensions of n and $\overrightarrow{A}$

D:

Dimensions of $\overrightarrow{A}$ divided by that of n

When $\overrightarrow{A}$ is added to its negative, we get:

Difficulty: Easy

A:

2\overrightarrow{A}

B:

Null vector

C:

\overrightarrow{A}

D:

-2\overrightarrow{A}

Two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ are said to be equal if they have:

Difficulty: Easy

A:

Same magnitudes but different directions

B:

Different magnitudes but same directions

C:

Different magnitudes and directions

D:

Same magnitude and directions

The direction of a vector in space is specified by:

Difficulty: Easy

A:

One angle

B:

Two angles

C:

Three angles

D:

None

Parallel vectors of same magnitudes:

Difficulty: Easy

A:

Are equal

B:

Are unequal

C:

When added, give the sum equal to zero

D:

When multiplied, give the answer equal to zero

If a vector $\overrightarrow{A}$ makes an angle $\theta$ with x-axis, then:

Difficulty: Hard

A:

A_{x}=A\sin\theta

B:

A_{x}=A\cos\theta

C:

A=A_{x}\cos\theta

D:

A=A_{x}\sin\theta

In a triangle OPQ, if $Q=90^{\circ} and OP is hypotenuse, then:

Difficulty: Hard

A:

(OP)^{2}=(PQ)^{2}-(OQ)^{2}

B:

(OQ)^{2}=(OP)^{2}-(PQ)^{2}

C:

(PQ)^{2}=(OP)^{2}+(OQ)^{2}

D:

(OQ)^{2}=(PQ)^{2}-(OP)^{2}