Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-2>Q 37

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At what angle must the two forces $(x + y)$ and $(x - y)$ act so that the resultant may be $\sqrt{(x^{2} + y^{2})}$ .

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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-2>Q 38

The magnitude of scalar product of two vectors is

8

and that of vector product is

8 \sqrt{3}

. The angle between them is

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-2>Q 39

A vector

\vec{A}

points vertically downward

&

\vec{B}

points towards east, then the vector product

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

is

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-2>Q 40

Which of the arrangement of axes in Fig. can be labelled "right-handed. coordinate system"? As usual, each axis label indicates the positive side of the axis.

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-2>Q 41

The unit vector perpendicular to each of the vectors

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

and

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

is given by

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-2>Q 42

Three vectors

\vec{A}, \vec{B}

and

\vec{C}

are such that

\vec{A} = \vec{B} + \vec{C}

and their magnitudes are in ratio

5 : 4 : 3

respectively:
Find angle between vector

\vec{A}

and

\vec{C}

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 2

The motion of a particle along a straight line is described by the equation :

x = 8 + 12 t - t^{3}

, where

x

is in metre and

t

is in second. The retardation of the particle when its velocity becomes zero, is

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 3

The vectors

\vec{A}

and

\bar{B}

are such that :

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

The angle between the two vectors is:

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-3>Q 4

Six vectors, $\vec{a}$ through $\vec{f}$ have the mangitudes and directions indicated in the figure. Which of the following statements is true?

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