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The values of x for which the angle betw...

The values of x for which the angle between the vectors ` veca =xhati - 3hatj-hatk and vecb = 2x hati + x hatj -hatk` is acute, and the angle, between the vector `vecb` and the axis of ordinates is obtuse, are

A

`1,2`

B

`-2,-3`

C

`AA x lt 0`

D

`AA x gt 0`

Text Solution

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The correct Answer is:
C
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If the vectors a = (2, log(3)x,lambda) and b = (-3,lambdalog(3) x, log...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. (a + b) xx (a-b) is equal to

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  16. If u = a-b, v =a + b and |a| = |b| = 2, then |u xx v| is

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  17. Let vec aa n d vec b be two non-collinear unit vector. If vec u= vec...

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  18. If \ vec a\ a n d\ vec b are two unit vectors inclined at an angle t...

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

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  20. The vector a + 3b is perpendicular to 7a-5b and a-5b is perpendicular ...

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