Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Assertion & Reason)>Q 24

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A vector of length $l$ is turned through the angle $θ$ about its tail. What is the change in the position vector of its head?

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Important Questions on Mathematical Tools in Physics

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Assertion & Reason)>Q 25

Given,

\vec{a} + \vec{b} + \vec{c} = 0

. Out of the three vectors

\vec{a}

,

\vec{b}

and

\vec{c}

two are equal in magnitude. The magnitude of the third vector is

\sqrt{2}

times that of either of the two have equal magnitude. The angles between the vectors are

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Assertion & Reason)>Q 26

The resultant of two vectors

\vec{P}

and

\vec{Q}

is

\vec{R}

. If

\vec{Q}

is doubled then the new resultant vector is perpendicular to

\vec{P}

. Then

R

is equal to:

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Assertion & Reason)>Q 27

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}

. What is the relation between

θ_{1}

and

θ_{2}

?

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Assertion & Reason)>Q 28

The square of the resultant of two forces of equal magnitude is equal to three times the product of their magnitude. The angle between them is:

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Assertion & Reason)>Q 29

A unit radial vector

\hat{r}

makes angles of

α = 30 °

relative to the

x

-axis,

β = 60 °

relative to the

y

-axis, and

γ = 90 °

relative to the

z

-axis. The vector

\hat{r}

can be written as :