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Equation of line $BA$ is $x + y = 1$ . Find a unit vector along the reflected ray $AC$ .

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Important Questions on Mathematical Tools in Physics

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-2>Q 20

The vector

(\vec{a} + 3 \vec{b})

is perpendicular to

(7 \vec{a} - 5 \vec{b})

and

(\vec{a} - 4 \vec{b})

is perpendicular to

(7 \vec{a} - 2 \vec{b})

. The angle between

\vec{a}

and

\vec{b}

is :

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-2>Q 21

Forces proportional to

A B, B C

and

2 C A

act along the sides of triangle

A B C

in order. Their resultant represented in magnitude and direction as

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-2>Q 22

Which of the following statements are true for a moving body?

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 13

A vector

\overset{⇀}{A}

of length

10

units makes an angle of

60 °

with a vector

\vec{B}

of length

6

units. If the angle which

\vec{A} - \vec{B}

makes with

\vec{A}

\tan^{- 1} (\frac{3 \sqrt{a}}{b})

, then the value of

(\frac{a + b}{2})

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 14

3

boys are pulling a heavy trolley by means of

3

ropes. The boy in the middle is exerting a pull of

100 N

. The other

2

boys, whose ropes both make an angle of

30 °

with the centre rope, are pulling with forces of

50 \sqrt{3} N

and

100 \sqrt{3} N

. Consider all the forces in the same plane. The magnitude of the resultant pull on the trolley is:

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 15

A radius vector of point A relative to the origin varies with time

t

\vec{r} = at \hat{i} - b t^{2} \hat{j}

where

a

and

b

are constants. If the equation of point's t as trajectory is

y = \frac{- b}{a^{q}} x^{p}

, then value of

p + q

is:

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 16

A room has dimension

3 m \times 4 m \times 5 m

. A fly starting at one corner ends up at diametrically opposite corner. The magnitude of its displacement is:

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 17

A room has dimensions

3 m \times 4 m \times 5 m

. A fly starting at one corner ends up ta diametrically opposite corner. If the fly does not fly but walks, then the length of the shortest path it can take is:

Equation of line BA is x+y=1. Find a unit vector along the reflected ray AC.

Important Questions on Mathematical Tools in Physics

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Equation of line $BA$ is $x + y = 1$ . Find a unit vector along the reflected ray $AC$ .