Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 59

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The vector sum of the forces of $10 N$ and $6 N$ can be,

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Important Questions on Mathematical Tools in Physics

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 60

The vector sum of two forces,

P

and

Q

, is minimum when the angle

θ

between their positive directions, is,

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 61

The vector sum of two vectors,

\vec{A}

and

\vec{B}

, is maximum. Then, the angle

θ

between the two vectors is,

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 62

Magnitude of

3 \hat{i} + 2 \hat{j} + \hat{k}

is

\sqrt{x}

, write value of

x

.

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 63

If

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

then find

\hat{A}

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 64

One of the rectangular components of a velocity of $60 km h^{- 1}$ is $30 km h^{- 1}$ . The other rectangular component is $x \sqrt{3} km h^{- 1}$ . Find $x$ .

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 66

A force of

30 N

is inclined at an angle

θ °

to the horizontal. If its vertical component is

18 N

, and the horizontal component is

x N

. What is the value of

x + 2 θ

?

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 67

The angle

θ

between directions of forces,

\vec{A}

and

\vec{B}

is

90 °

, where,

A = 8

dyne

and

B = 6

dyne

. If, the resultant

\vec{R}

makes an angle

α

with

\vec{A}

then, find the value of

α

(in degrees)?

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 68

If

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

and

\vec{B} = \hat{i} + \hat{j} + 2 \hat{k}

then find out unit vector along

\vec{A} + \vec{B}