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Let bar(a)=hat j-hat k and bar(c)=hat i-...

Let `bar(a)=hat j-hat k` and `bar(c)=hat i-hat j-hat k` then the vector `bar(b)` satisfying `bar(a)timesbar(b)+bar(c)=0` and `bar(a).bar(b)=3` is

A

`2i-j+2k`

B

`i-j-2k`

C

`i+j-2k`

D

`-i+j-2k`

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
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  2. If a = 1, -1, 1, a. b =0, a xx b = c, where c = -2, -1, 1 then the vec...

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  3. Let bar(a)=hat j-hat k and bar(c)=hat i-hat j-hat k then the vector ba...

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  4. If vec a is a vector of magnitude 50 and parallel to vec b= 6 vec i - ...

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  5. Let A,B and C be the unit vectors . Suppose that A.B=A.C =0 and the a...

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  6. Let vec(u) = hat(i) + hat(j), vec(v) = hat(i) - hat(j) and vec(w) = h...

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  7. A unit vector perpendicular to the vector -bar(i)+2bar(j)+2bar(k) and...

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  8. The vectors a, b and c are of the same length and taken pairwise, they...

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  9. The vector a, b, c are equal in length and taken pairwise they mak equ...

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  10. The vector r satisfying the conditions that I. it is perrpendicular ...

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  11. The values of lambda for which the angle between the vectors a= lambd...

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  12. If a and b are two unit vectors inclined at an angle 2theta to each ot...

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  13. The vectors (2hati - mhatj+ 3mk) and {(1 + m) hati -2m hatj + hatk} i...

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  14. If the vectors a = (2, log(3)x,lambda) and b = (-3,lambdalog(3) x, log...

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  15. The set of values of lambda for which the vectors vec a=(lambda(log)2...

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  16. The values of x for which the angle between the vectors veca =xhati -...

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  17. The vectors a = 2lambda^(2) i+4lambdaj+k and b=7i-2j+lambdak make an o...

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  18. If unit vectors veca and vecb are inclined at an angle 2 theta such th...

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  19. Lelt two non collinear unit vectors hata and hatb form and acute angle...

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  20. For any vector veca |veca xx hati|^(2) + |veca xx hatj|^(2) + |vec...

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