Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 67

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The angle $θ$ between directions of forces, $\vec{A}$ and $\vec{B}$ is $90 °$ , where, $A = 8$ $dyne$ and $B = 6$ $dyne$ . If, the resultant $\vec{R}$ makes an angle $α$ with $\vec{A}$ then, find the value of $α$ (in degrees)?

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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-1>Q 68

If

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

and

\vec{B} = \hat{i} + \hat{j} + 2 \hat{k}

then find out unit vector along

\vec{A} + \vec{B}

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 73

If

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

then the angle between

\vec{A}

and

\vec{B}

is

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 74

Vector

\vec{A}

is of length

2 cm

and is

60 °

above the x-axis in the first quadrant. Vector

\vec{B}

is of length

2 cm

and

60 °

below the

x

-axis in the fourth quadrant. The sum

\vec{A} + \vec{B}

is a vector of magnitude-

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 77

Two vectors having equal magnitude of

5

units, have an angle of

60 °

between them. Find the magnitude of their resultant vector and its angle from one of the vectors.

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 78

Two forces each numerically equal to $10$ $dyne$ are acting as shown in the figure, then find the resultant of these two vectors.

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 79

The magnitude of pairs of displacement vectors is given. Which pairs of displacement vectors cannot be added to give a resultant vector of magnitude

13 cm

?

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 80

If

\vec{A} = 3 \hat{i} + 2 \hat{j}

and

\vec{B} = 2 \hat{i} + 3 \hat{j} - \hat{k},

then find a unit vector along

(\vec{A} - \bar{B}) .

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Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-1>Q 86

Two forces of

12 N

and

8 N

act upon a body. The resultant force on the body has maximum value of