Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 14

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A bird moves from point $(1 m, - 2 m, 3 m)$ to $(4 m, 2 m, 3 m)$ . If the speed of the bird is $10 {ms}^{- 1}$ , then the velocity vector of the bird in ${ms}^{- 1}$ is:

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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-1>Q 15

Any vector in an arbitrary direction can always be replaced by two (or three)

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 16

There are two force vectors, one of

5 N

and other of

12 N

at what angle the two vectors be added to get resultant vector of

17 N, 7 N

and

13 N

respectively

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 17

A particle has displacement of

12 m

towards east,

5 m

towards north and then

6 m

vertically upward. The sum of these displacements is,

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 18

12

different non collinear forces (all of equal magnitude) maintain a body in equilibrium, then the angle between any two adjacent forces is

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 19

A vector

\vec{A}

points vertically upward and

\vec{B}

points towards north. The vector product

\vec{A} \times \vec{B}

is

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 20

If

| \vec{A} \times \vec{B} | = \sqrt{3} \vec{A} \cdot \vec{B}

, then the value of

| \vec{A} + \vec{B} |

is

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 21

The projection of

\vec{A}

on

\vec{B}

is

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 22

Given that

P = Q = R

. If

\vec{P} + \vec{Q} = \vec{R}

then the angle between

\vec{P}

and

\vec{R}

is

θ_{1}

. If

\vec{P} + \vec{Q} + \vec{R} = \vec{0}

then the angle between

\vec{P}

and

\vec{R}

is

θ_{2}

.The relation between

θ_{1}

and

θ_{2}

is :-