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If vectors a and b are non-collinear, th...

If vectors a and b are non-collinear, then `(a)/(|a|)+(b)/(|b|)` is

A

a unit vector

B

in the plane of a and b

C

equally inclined to a and b

D

perpendicular to `atimesb`

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The correct Answer is:
B, C, D
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (More Than One Correct Option Type Questions)
  1. If vectors a and b are non-collinear, then (a)/(|a|)+(b)/(|b|) is

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  2. If atimes(btimesc)=(atimesb)timesc, then

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  3. Let veca and vecb be two non-collinear unit vectors. If vecu=veca-(vec...

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  4. The scalars l and m such that la + mb = c , where a, b and c are given...

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  5. Let vecr be a unit vector satisfying vecrxxveca=vecb, where |veca|=sqr...

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  6. a1, a2, a3, in R-{0} and a1+a2cos2x+a3sin^2x=0fora l lx in R , then ...

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  7. If veca and vecb are two vectors and angle between them is theta , the...

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  8. If the unit vectors veca and vecb are inclined at an angle 2theta such...

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  9. If vec a xx (vec bxxvec c)+(vec a*vec b)vec b=(4-2beta-sinalpha)vec b...

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  10. If in triangle A B C , vec A B= vec u/(| vec u|)-- vec v/(| vec v|)a n...

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  11. If a, b and c be the three non-zero vectors satisfying the condition a...

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  12. Given the following informations about the non-zero vectors A, B and C...

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  13. Let a, b and c are non-zero vectors such that they are not orthogonal ...

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  14. Given three vectors U=2hat(i)+3hat(j)-6hat(k), V=6hat(i)+2hat(j)+2hat(...

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  15. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d ve...

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  16. Three vectors veca,vecb,vecc are such that vecaxxvecb= 3(vecaxxvecc)Al...

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  17. Let a, b and c be non-zero vectors and |a|=1 and r is a non-zero vecto...

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  18. If veca and vecb are two unit vectors perpendicular to each other and...

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  19. Given three non-coplanar vectors OA=a, OB=b, OC=c. Let S be the centre...

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  20. If a=hat(i)+hat(j)+hat(k) and b=hat(i)-hat(j), then the vectors (a*hat...

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