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Evaluate the scalar product (3veca-5vecb...

Evaluate the scalar product `(3veca-5vecb).(2veca+7vecb)`.

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The correct Answer is:
`6|veca|^(2)+11veca.b-35|vecb|^(2)`
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If two vectors veca and vecb are such that : |veca|=2,|vecb|=1 and veca*vecb=1 , then find the value of (3veca-5vecb)*(2veca+7vecb) .

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If veca=2hati+sqrt3hatj+3hatk and vecb=3hati+2hatj-2sqrt3hatk , then : evaluate (3veca-5vecb)xx(2veca-vecb) .

If veca=5hati-hatj+7hatk and vecb=hati-hatj-lambdahatk , then find the value of 'lambda' for which (veca+vecb) and (veca-vecb) are orthognal.

The scalar product of two given vectors veca and vecb having angle 'theta' between them is defind as veca*vecb=........ .

If veca and vecb are any two unit vectors, then find the greatest postive integer in the range of (3|veca + vecb|)/2+2|veca-vecb|

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BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION III)
  1. Evaluate the scalar product (3veca-5vecb).(2veca+7vecb).

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  2. if vecp is a unit vector and (vecx-vecp).(vecx+vecp) = 12 then find |v...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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