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If vector vec i+ 2vec j + 2vec k is rot...

If vector `vec i+ 2vec j + 2vec k` is rotated through an angle of `90^@`, so as to cross the positivedirection of y-axis, then the vector in the new position is

A

`-(2)/(sqrt(5))hat(i)+sqrt(5)hat(j)-(4)/(sqrt(5))hat(k)`

B

`-(2)/(sqrt(5))hat(i)-sqrt(5)hat(j)+(4)/(sqrt(5))hat(k)`

C

`4hat(i)-hat(j)-hat(k)`

D

None of these

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The correct Answer is:
A
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
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  3. If vector vec i+ 2vec j + 2vec k is rotated through an angle of 90^@...

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  6. If veca, vecb and vecc are any three non-zero vectors, then the compon...

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  7. The position vector of a point P is r=xhat(i)+yhat(j)+hat(k)z, where x...

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  8. Let a,bgt0 and alpha=(hati)/(a)+(4hatj)/(b)+bhatk and beta=bhati+ahatj...

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

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

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

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

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

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

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

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

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

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

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

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