Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 11

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Figure shows three vectors $\vec{a}$ , $\vec{b}$ and $\vec{c}$ , where $R$ is the midpoint of $PQ$ Then which of the following relations is correct?

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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 12

A displacement vector, at an angle of

30 °

with

y

-axis has an

x

-component of

10

units. Then the magnitude of the vector is-

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Beta Question Bank for Engineering: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 13

I started walking down a road in the morning facing the sun. After walking for some time, I turned to my left. Then I turned to my right. In which direction was I going then?

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

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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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