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Mark the correct statement....

Mark the correct statement.

A

`|vec(a)+vec(b)|ge|vec(a)|+|vec(b)|`

B

`|vec(a)+vec(b)|le|vec(a)|+|vec(b)|`

C

`|vec(a)-vec(b)|le|vec(a)|+|vec(b)|`

D

All of the above

Text Solution

Verified by Experts

The correct Answer is:
B
See (figure)

`ACleAB+BCrArr|vec(a)+vec(b)|le|vec(a)|+|vec(b)|`
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CENGAGE PHYSICS-VECTORS-Exercise Single Correct
  1. Choose the wrong statement.

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  2. What displacement at an angle 60^(@) to the x-axis has an x-component ...

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  3. Mark the correct statement.

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  4. Out of the following forces, the resultant of which cannot be 10N?

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  5. Which of the following pairs of forces cannot be added to give a resul...

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  6. In an equilateral triangle ABC, AL, BM, and CN are medians. Forces alo...

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  7. The sum of two vectors A and B is at right angles to their difference....

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  8. If a parallelogram is formed with two sides represented by vector vec(...

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  9. Given that vec(A)+vec(B)=vec(C ) and that vec(C ) is perpendicular to ...

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  10. Two forces vec(F)(1)=500N due east and vec(F)(2)=250N due north have t...

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  11. Find the resultant of the three vectors vec(OA), vec(OB) and vec(OC) s...

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  12. Two vectors vec(a) and vec(b) are at an angle of 60^(@) with each othe...

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  13. The resultant of two vectors vec(P) and vec(Q) is vec(R ). If the magn...

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  14. A vector vec(A) When added to the vector vec(B)=3hat(i)+4hat(j) yields...

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  15. ABCDEF is a regular hexagon with point O as centre. The value of vec(A...

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  16. In a two diamensional motion of a particle, the particle moves from po...

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  17. The sum of two forces at a point is 16N. if their resultant is normal...

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  18. The angle between two vector A and B is theta. Vector R is the resulta...

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  19. The resultant of three vectors 1,2, and 3 units whose directions are t...

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  20. A unit vector along the incident ray of light is hat(i). The unit vect...

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