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Find lamda when the scalar projection of...

Find lamda when the scalar projection of `veca=lamda hati+hatj+4hatk on vecb=2hati+6hatj+3hatk` is 4 units.

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The correct Answer is:
`lamda = 5`
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Find the projection of vector veca=5hati-hatj-3hatk on the vector vecb=hati+hatj+hatk .

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Find the sum of the vectors veca = -2hati+hatj-4hatk and vecb = 3hati-hatj+5hatk .

Find vecA xx vecB if vecA = hati - 2hatj + 4hatk and vecB = 2hati - hatj + 2hatk

If veca=3hati+hatj-4hatk and vecb=6hati+5hatj-2hatk find |veca Xvecb|

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CBSE COMPLEMENTARY MATERIAL-VECTORS -FOUR MARKS QUESTIONS
  1. Find lamda when the scalar projection of veca=lamda hati+hatj+4hatk on...

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  2. The points A,B and C with position vectors 3 hati - y hatj + 2hatk, 5 ...

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  3. If the sum of two unit vectors is a unit vector, prove that the mag...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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