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If three unit vectors veca, vecb and vec...

If three unit vectors `veca, vecb and vecc " satisfy" veca+vecb+vecc= vec0`. Then find the angle between `veca and vecb`.

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Verified by Experts

If the angle between `vecA and vecB` is `theta`, the cross-product will have a magnitude
`|vecAxxvecB|=AB sintheta`
OR, `15=5xx6 sintheta`
or, ` sin theta = 1/2`
thus, ` theta= 30^0 or 150^0`.
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HC VERMA-PHYSICS AND MATHEMATICS-Exercises
  1. If three unit vectors veca, vecb and vecc " satisfy" veca+vecb+vecc= v...

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  2. A vector vecA makes an angle of 20^@ and vecB makes an angle of 110^@...

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  3. Let vecA and vecB be the two vectors of magnitude 10 unit each. If the...

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  4. Find the magnitude of two vectors veca and vec b having the same magni...

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  5. If veca=2veci+3vecj-4veck and vecb =5veci+2vecj+4veck, find the angle...

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  6. Refer to figure Find a the magnitude, b x and y components and c. the ...

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  7. Two vectors have magnitudes 3 unit and 4 unit respectively. What shoul...

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  8. A spy report about a suspected car reads as follows. The car moved 2.0...

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  9. A carrom board (4ftxx4ft ) has the queen at the centre. The queen hit ...

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  10. A mosquito net over a 7ftxx4ft bed is 3 ft high. The net hs a hole at ...

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  11. Suppose veca is a vector of magnitude 4.5 unit due north. What is the ...

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  12. Two vectors have magnitudes 2 m and 3m. The angle between them is 60^0...

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  13. Let A1 A2 A3 A4 A5 A6 A1 be a regular hexagon. Write the x-components ...

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  14. If veca=2veci+3vecj-4veck and vecb =5veci+2vecj+4veck, find the angle...

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  15. Prove that vecA.(vecAxxvecB)=0

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  16. If veca=2veci+3vecj-4veck and vecb =5veci+2vecj+4veck, find the angle...

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  17. If vecA,vecB,vecC are mutually perpendicular show that vecCxx(vecAxxve...

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  18. A particle moves on a given straight line with a constant speed v. At ...

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  19. The force on a charged particle due to electric and magnetic fields is...

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  20. Give an example for which vecA.vecB=vecC.vecB but vecA!=vecC.

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  21. If y= sin x and x changes from pi/2 to pi, the approximate change in y...

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