Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 62

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If vectors $\vec{A}$ and $\vec{B}$ are such that $|\vec{A} + \vec{B}| = \vec{|A|} = |\vec{B}|$ , then $|\vec{A} - \vec{B}|$ may be equated to

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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 (Conceptual Questions)>Q 63

What happens, when we multiply a vector by

(- 2)

?

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 64

Two vectors of equal magnitude have a resultant equal to either of them in magnitude. The angle between them is:

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 66

If a unit vector is represented by

0.5 \hat{i} + 0.8 \hat{j} + c \hat{k}

then the value of

c

is:

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 67

Vector

\vec{P}

makes angles

α, β

and

γ

with the

X, Y

and

Z

axes respectively, then

\sin^{2} α + \sin^{2} β + \sin^{2} γ =

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 68

The direction cosines of a vector

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

are

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 69

The unit vector along

\hat{i} + \hat{j}

is :

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 70

The unit vector parallel to the resultant of the vectors

\vec{A} = 4 \hat{i} + 3 \hat{j} + 6 \hat{k}

and

\vec{B} = - \hat{i} + 3 \hat{j} - 8 \hat{k}

is

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Beta Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise (Conceptual Questions)>Q 71

If

\vec{A} + \vec{B}

is a unit vector along

x

-axis and

\vec{A} = \hat{i} - \hat{j} + \hat{k}

, then what is

\vec{B}

?