Find the resultant of the three vectors O A → , O B → and O C → each of magnitude as shown in figure?

As seen from the given diagram the angle between O C → & O A → is 90 ° and the magnitude of these vectors is r hence to find the resultant of these two vectors using parallelogram of vector addition, R = r 2 + r 2 ⇒ R = 2 r Now this vector is acting along the direction of O B → , therefore the direction of R → & O B → is same, hence their resultant is, R ' = R + r ⇒ R ' = 2 r + r ⇒ R ' = r 2 + 1

Find the resultant of the three vectors O A → , O B → and O C → each of magnitude as shown in figure?

As seen from the given diagram the angle between O C → & O A → is 90 ° and the magnitude of these vectors is r hence to find the resultant of these two vectors using parallelogram of vector addition, R = r 2 + r 2 ⇒ R = 2 r Now this vector is acting along the direction of O B → , therefore the direction of R → & O B → is same, hence their resultant is, R ' = R + r ⇒ R ' = 2 r + r ⇒ R ' = r 2 + 1

E M B I B E

Alpha Question Bank for Medical: Physics>Chapter 2 - Mathematical Tools in Physics>Exercise-2>Q 35

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NEET

IMPORTANT

Earn 100

Find the resultant of the three vectors $\vec{O A}, \vec{O B}$ and $\vec{O C}$ each of magnitude as shown in figure?

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 36

A car is moving on a straight road due north with a uniform speed of

50 km h^{- 1}

when it turns left through

90 °

. If the speed remains unchanged after turning, the change in the velocity of the car in the turning process is

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

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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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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