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#20 | Vectors: Introduction
(Physics) > Mathematical Tools
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Related Practice Questions :

Given that  makes an angle . Which of the following options is correct?

1.

2.

3.

4.

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Two forces are such that the sum of their magnitudes is 18 N and their resultant is perpendicular to the smaller force and magnitude of resultant is 12 N. Then the magnitudes of the forces are

1. 12 N, 6 N

2. 13 N, 5N

3. 10 N, 8 N

4. 16 N, 2 N

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If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is

1. 90°

2. 45°

3. 180°

4. 0°

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Six vectors  have the directions indicated in the figure. Which of the following statements may be true?

(a) $\stackrel{\to }{b}+\stackrel{\to }{c}=\stackrel{\to }{-f}$                        (b) $\stackrel{\to }{d}+\stackrel{\to }{c}=\stackrel{\to }{f}$

(c) $\stackrel{\to }{d}+\stackrel{\to }{e}=\stackrel{\to }{f}$                        (d) $\stackrel{\to }{b}+\stackrel{\to }{e}=\stackrel{\to }{f}$

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In the given figure

(A)  Angle between $\stackrel{\to }{\mathrm{A}}$ and $\stackrel{\to }{\mathrm{B}}$ is $110°$

(B)  Angle between $\stackrel{\to }{\mathrm{C}}$ and $\stackrel{\to }{\mathrm{D}}$ is $60°$

(C)  Angle between $\stackrel{\to }{\mathrm{B}}$ and $\stackrel{\to }{\mathrm{C}}$ is $110°$

(D)  Angle between $\stackrel{\to }{\mathrm{B}}$ and $\stackrel{\to }{\mathrm{C}}$ is $70°$