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The value of the expression |vecaxxvecb|...

The value of the expression `|vecaxxvecb|^(2)+(veca.vecb)^(2)` is …………

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The correct Answer is:
`|veca|^(2)|vecb|^(2)`
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If veca and vecb are any two vectors, prove that (vecaxxvecb)^(2)=|veca|^(2)|vecb|^(2)-(veca.vecb)^(2) It is known as Largange's indentity.

If veca" and "vecb are any two vectors, then (veca xx vecb)^(2)= |veca|^(2)|vecb|^(2)-(veca* vecb)^(2) .

Show that |vecaxxvecb|=sqrt(vec(a^2)vec(b^2)-(veca*vecb)^2) .

Prove that : (vecaxxvecb)^2=|\veca|^2.|\vecb|^2-(veca.vecb)^2 .

The angle between veca and vecb if vecaxxvecb=veca*vecb is :

If veca and vecb are two vectors , then prove that (vecaxxvecb)^(2)=|{:(veca.veca" ",veca.vecb),(vecb.veca" ",vecb.vecb):}|

Show that (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb)

Fill in the blanks : If |\vecaxxvecb|^2+(veca.vecb)^2=400 and |\veca|=5 then |\vecb|=_(…………)

veca =1/sqrt(10)(3hati + hatk) and vecb =1/7(2hati +3hatj-6hatk) , then the value of (2veca-vecb).[(vecaxxvecb)xx(veca+2vecb)] is:

If vecb and vecc are two non-collinear such that veca ||(vecbxxvecc) . Then prove that (vecaxxvecb).(vecaxxvecc) is equal to |veca|^(2)(vecb.vecc)

ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 1 MARK (TYPE - II : FILL IN THE BLANKS QUESTIONS)
  1. If |veca|=1,|vecb|=2 and veca*vecb=1. Then the angle between veca and ...

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  2. If 2(veca.vecb)= |veca||vecb| then angle between veca and vecb equals ...

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  3. The projection of veca=2hati-2hatj-hatk on vecb=3hati-hatj+2hatk is eq...

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  4. If veca=2hati+lambdahatj+hatk and vecb=3hati-2hatj+8hatk are per[endic...

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  5. The value of lambda for which the vectors veca=2hati+lambdahatj+hatk ...

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  6. If veca=hati-hatj+hatk and vecb=5hati-hatj+2hatk, then veca*vecb is :

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  7. If veca=2hati+hatj+7hatk and vecb=5hati-3hatj+10hatk, then veca*vecb i...

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  8. If veca*vecb=|vecaxxvecb|, then angle between vector veca and vector v...

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  9. If sqrt(3)veca.vecb=|vecaxxvecb| then angle between vector veca and ve...

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  10. If veca.vecb=|vecaxxvecb| then angle between vector veca and vector ve...

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  11. The value of : hati*(hatjxxhatk)+hatj*(hatkxxhati)+hatk*(hatixxhatj) i...

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  12. If theta is the angle between two vectors veca and vecb, then |veca*ve...

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  13. If theta is the angle between two vectors veca and vecb, then |veca*ve...

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  14. The vector veca+vecb bisects the angle between the non collinear vecto...

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  15. If vecr.veca=0,vecr.vecb=0 and vecr.vecc=0 for some non zero vector ve...

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  16. The vector veca=3hati-2hatj+2hatk and vecb=-hati-2hatk are the adjacen...

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  17. The value of k for which |kveca|lt|veca| and kveca+1/2veca is parallel...

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  18. The value of the expression |vecaxxvecb|^(2)+(veca.vecb)^(2) is …………

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  19. If |vecaxxvecb|^(2)+|veca.vecb|^(2)=144 and |veca|=3 then |vecb| is eq...

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

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