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If hata and hatb are unit vectors inclin...

If `hata and hatb` are unit vectors inclined at an angle `theta` then prove that `cos "" theta /2 = 1/2 |hata + hatb|`

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CBSE COMPLEMENTARY MATERIAL-VECTORS -FOUR MARKS QUESTIONS
  1. If the sum of two unit vectors is a unit vector, prove that the mag...

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  2. Let veca = 4hati + 5hatj - hatk, vecb = hati- 4 hatj + 5 hatk and vec ...

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  3. If hata and hatb are unit vectors inclined at an angle theta then prov...

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  4. If hata and hatb are unit vectors inclined at an angle theta then prov...

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  5. If veca,vecb,vecc are mutually perpendicular vectors of equal magnitud...

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  6. For any vector veca |veca xx hati|^(2) + |veca xx hatj|^(2) + |vec...

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  7. Show that (veca xx vecb)^(2) = |veca| ^(2) |vecb|^(2) - (veca.vecb)^(2...

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  8. If veca, vecb and vecc are the position vectors of vertices A,B,C of a...

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  9. Let veca , vecb , vecc be unit vectors such that veca .vecb =0=veca....

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  10. if veca + vecb + vecc=0, then show that veca xx vecb = vecb xx vecc = ...

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  11. If veca = hati + hatj + hatk, vecc = hatj - hatk are given vectors, th...

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  12. Let, veca , vecb and vecc be three non zero vectors such that vecc is ...

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  13. If the vectors vecalpha = a hati + hatj + hatk, vecbeta = hati + b hat...

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  14. Find the altitude of a parallelepiped determined by the vectors veca, ...

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  15. Prove that the four points (4hati + 5 hatj+hatk), - (hatj +hatk),(3hat...

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  16. If |veca| =3, |vecb|=4 and |vecc|=5 such that each is perpendicular to...

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  17. Decompose the vector 6 hati - 3 hatj - 6 hatk into vectors which are p...

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  18. If veca, vecb and vecc are vectors such that veca. vecb = veca.vecc, v...

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  19. If veca, vecb and vecc are three non zero vectors such that veca xx v...

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  20. For any three vectors veca, vecb, vecc the value of [(veca-vecb, vecb-...

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