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The vector r satisfying the conditions t...

The vector r satisfying the conditions that
I. it is perrpendicular to `3hati+2hatj+2hatj and 18hati-22hatj-5hatk`
II. It makes an obtuse angle with Y-axis
III. `|r|=14`.

A

`-2(2i+3j-6k)`

B

`2(2i-3j+6k)`

C

`4i+6j-12k`

D

none of these

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The correct Answer is:
A
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
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  2. The vector a, b, c are equal in length and taken pairwise they mak equ...

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

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

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

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

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

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

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

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

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

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

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

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  14. If |a| = |b|, then (a +b). (a-b) is

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  15. A vector a has components 2p and 1 with respect to a rectangular cart...

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  16. Let a =i+j+pk and b=i+j+k, |a+b| =|a| +|b| , holds for

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  17. If x and y are two unit vectors and phi is the angle between them, the...

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  18. Let hat(a), hat(b) be two unit vectors and theta be the angle between...

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  19. (a +b). (a-b) =0 implies that

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  20. The vectors vec A and vec B are such that |vec A + vec B | = |vec A - ...

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