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The magnitude of vectros vec A, vec B an...

The magnitude of vectros `vec A`,` vec B` and `vec C` are 12, 5 and 13 units respectively and ` vec A + vec B= vec C`, find the angle between ` vec A and vec B` .

A

`60^(@)`

B

`90^(@)`

C

`120^(@)`

D

None

Text Solution

Verified by Experts

The correct Answer is:
B

`C^(2) = A^(2) + B^(2) + 2 AB cos theta`
`(13)^(2) = (12)^(2) + (5)^(2) + 2 . 12 . 5 . Cos theta`
`cos theta = 0 rArr theta = 90^(@)`
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CP SINGH-VECTORS-Excercises
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  2. Two vectors acting through a point are in the ratio 3 : 5. If the angl...

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  13. If the resultant of n forces of different magnitudes acting at a point...

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  14. Let vec(C )= vec(A)+vec(B) then

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  15. Forces of 1 and 2 units act along the lines x = 0 and y = 0. The equ...

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

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  20. Five equal forces of 10 N each are applied at one point and all are ly...

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