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If veca and vecb are othogonal unit vect...

If `veca and vecb` are othogonal unit vectors, then for a vector `vecr` non - coplanar with `veca and vecb` vector `vecr xx veca` is equal to

A

`[r hat(a) hat(b)](hat(a)+hat(b)]`

B

`[r hat(a) hat(b)]hat(a)+(r*hat(a))(hat(a)timeshat(b))`

C

`[r hat(a) hat(b)]hat(b)+(r*hat(b))(hat(a)timeshat(b))`

D

`[r hat(a) hat(b)]hat(b)+(r*hat(a))(hat(a)timeshat(b))`

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. Given unit vectors m, n and p such that angle between m and n. Angle b...

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  2. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

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  3. If veca and vecb are othogonal unit vectors, then for a vector vecr no...

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  4. If vector vec i+ 2vec j + 2vec k is rotated through an angle of 90^@...

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  5. 10 different vectors are lying on a plane out of which four are parall...

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  6. If hat(a) is a unit vector and projection of x along hat(a) is 2 units...

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  7. If a, b and c are any three non-zero vectors, then the component of at...

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  8. The position vector of a point P is vecr=xhat(i)+yhat(j)+zhat(k), wher...

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  9. . Let a, b > 0 and vecalpha=hati/a+4hatj/b+bhatk and beta=bhati+ahatj+...

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  10. If veca, vecb and vecc are any three vectors forming a linearly indepe...

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  11. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

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

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  13. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

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  14. In triangle ABC the mid point of the sides AB, BC and AC respectively ...

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  15. The angle between the lines whose directionn cosines are given by 2l-m...

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

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

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

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  19. If p,q are two-collinear vectors such that (b-c)ptimesq+(c-a)p+(a-b)q...

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  20. 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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