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Find |veca|and|vecb|, if (veca+vecb).(ve...

Find `|veca|and|vecb|`, if `(veca+vecb).(veca-vecb)=12 and |veca|=2|vecb|`

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The correct Answer is:
`|veca|=4,|vecb|=2`
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BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION III)
  1. if vecp is a unit vector and (vecx-vecp).(vecx+vecp) = 12 then find |v...

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  2. Find |vecx|, if for a unit vector veca,(vecx-veca).(vecx+veca)=15

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  3. Find |veca|and|vecb|, if (veca+vecb).(veca-vecb)=12 and |veca|=2|vecb|

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  4. Find the cosine of the angle between the vectors veca=hati+2hatj+3hatk...

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  5. Find the cosine of the angle between the vectors veca=2hati+3hatj+4hat...

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  6. Find the cosine of the angle between the vectors veca=2hati+3hatj+4hat...

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  7. Find the angles between the vectors veca=2hati-hatj+2hatk,vecb=6hati...

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  8. If |veca|=sqrt(3),|vecb|=2 and veca.vecb=3, find the angle between vec...

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  9. Find the angle between two vectors veca and vecb with magnitude 2 and ...

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  10. Find the angle between two vector vec(a) and vecb having same magnitud...

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  11. If veca=hati+2hatj-3hatk,vecb=3hati-hatj+2hatk, show that veca+vecb an...

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  12. Find the value of lambda if veca=2hati+3hatj+4hatk and vecb=3hati+2hat...

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  13. If veca=5hati-hatj+7hatk and vecb=hati-hatj+lambdahatk. Find lambda su...

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  14. If veca=hati-hatj+7hatk and vecb=5hati-hatj+lambdahatk, Find lambda su...

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  15. If veca=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatk and vecc=3hati+hatj ar...

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  16. If veca and vecb are perpendicular vectors, show that (veca+vecb)^(2)=...

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  17. If |veca+vecb|=|veca-vecb| then show that veca and vecb are perpendicu...

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  18. Find |veca-vecb| if |veca|=2,|vecb|=3,and veca.vecb=4

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  19. If veca is any vector, then show that veca=(veca.hati)hatj+(veca.hatj)...

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  20. If |veca|=3, |vecb|=4 and |vecc|=5 and each of them is perpendicular ...

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