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If hat(a) is a unit vector and projectio...

If `hat(a)` is a unit vector and projection of x along `hat(a)` is 2 units and `(hat(a)times x)+b=x,` then x is equal to

A

`(1)/(2)(hat(a)-b+(hatatimesb))`

B

`(1)/(2)(2hat(a)+b+(hatatimesb))`

C

`(hat(a)+(hatatimesb))`

D

None of these

Text Solution

Verified by Experts

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

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

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

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

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

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

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

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

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

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

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

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