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If veca, vecb and vecc are any three non...

If `veca, vecb` and `vecc` are any three non-zero vectors, then the component of `vecatimes(vecbtimesvecc)` perpendicular to `vecb` is

A

`vecatimes(vecbtimesvecc)+((vecatimesvecb)*(vecctimesveca))/(|b|^(2))vecb`

B

`vecatimes(vecbtimesvecc)+((vecatimesvecc)*(vecatimesvecb))/(|b|^(2))vecb`

C

`vecatimes(vecbtimesvecc)+((vecatimesvecb)*(vecbtimesveca))/(|b|^(2))vecb`

D

`vecatimes(vecbtimesvecc)+((vecatimesvecb)*(vecbtimesvecc))/(|b|^(2))vecb`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
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  7. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

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  8. If in a triangleABC, BC=(e)/(|e|)-(f)/(|f|) and AC=(2e)/(|e|): |e|ne|f...

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  11. Find the angle between the two lines whose direction cosines are given...

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  12. A line makes an angle theta both with x-axis and y-axis. A possible ra...

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  13. Let veca, vecb and vecc be the three vectors having magnitudes, 1,5 an...

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  14. Find the perpendicular distance of a corner of a cube of unit side len...

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  15. If p,q are two non-collinear and non-zero vectors such that (b-c)ptim...

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  16. Let a=hat(i)+hat(j)+hat(k), b=-hat(i)+hat(j)+hat(k), c=hat(i)-hat(j)+h...

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  17. A parallelopiped is formed by planes drawn parallel to coordinate axes...

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  18. Let a,b,c be three non-coplanar vectors and d be a non-zerro vector, w...

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  19. If alpha(axxb)+beta(bxxc)+gamma(cxxa)=0, then

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  20. Given four non zero vectors bar a,bar b,bar c and bar d. The vectors ...

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