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Let ` vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i- hat j- hat k` be three vectors. A vector ` vec v` in the plane of ` vec aa n d vec b ,` whose projection on ` vec c` is `1/(sqrt(3))` is given by ` hat i-3 hat j+3 hat k` b. `-3 hat i-3 hat j+3 hat k` c. `3 hat i- hat j+3 hat k` d. ` hat i+3 hat j-3 hat k`

A

`i-3k+3k`

B

`-3i-3j-k`

C

`3i-j+k`

D

`i+3j-3k`

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-VECTOR ALGEBRA-SOLVED EXAMPLES (Level-1 Single Correct Answer Type Questions)
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  6. If abs(a)=1, abs(b)=2" and "abs(a-2b)=4" then "abs(a+3b) is equal to

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  7. If abs(a)^(2)=8" and "a times (i+j+2k)=0 then the value of a*(-i+j+4k)...

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  8. If a, b, c are unit vectors, then the maximum value of abs(a+2b)^(2)+a...

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  9. Let veca=2hati+hatj-2hatk, vecb=hati+hatj. If vecc is a vector such th...

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  10. The non-zero vectors are vec a,vec b and vec c are related by vec a= ...

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  12. vectors veca=i-j+2k , vecb=2i+4j+k and vecc=lambdai+j+muk are mutually...

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  13. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

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  14. If a=1/sqrt(10)(3i+k)" and "b=1/7(2i+3j-6k), then the value of (2a-b)....

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  15. The vectors a and b are not perpendicular and c and d are two vectors ...

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  16. If the vectors pi + j + k, i + qj + k and i + j + rk, where pneqnerne1...

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  17. Let a,b and c be three non-zero vectors which are pairwise non-colline...

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

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  19. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

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