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The vectors (2hati - mhatj+ 3mk) and {(1...

The vectors `(2hati - mhatj+ 3mk)` and `{(1 + m) hati -2m hatj + hatk}` include and acute angle for

A

all value of m

B

`m lt -2`

C

`m gt - (1)/(2)`

D

`m epsi [-2, -(1)/(2)]`

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The correct Answer is:
B, C, D
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. The values of lambda for which the angle between the vectors a= lambd...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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