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If |veca|=3 and -1 <= k <= 2, then |kvec...

If `|veca|=3` and `-1 <= k <= 2`, then `|kveca|` lies in the interval

A

[0, 6]

B

[-3, 6]

C

[3, 6]

D

[1, 2]

Text Solution

Verified by Experts

The correct Answer is:
B
The smalest value of |k | will exist at numerically smallest value of k, i.e, at k =0, which gives
`|ka|=|k||a|=0xx3=0`
The numerically greaterst value of k is 2 at which `|k a|=6`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-VECTORS -(VECTORS ) Exercise 2 ( Topical problems )
  1. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

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  2. If vec r.vec a=vec r.vec b=vec r.vec c=0 where a, b, c are non-coplan...

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  3. If |veca|=3 and -1 <= k <= 2, then |kveca| lies in the interval

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  4. If ABCDEF is a regular hexagon then vec(AD)+vec(EB)+vec(FC) equals :

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  5. If a=hat(i)+hat(j)+hat(k), b=hat(i)+3hat(j)+5hat(k) and c=7hat(i)+9hat...

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  6. A vector of magnitude sqrt2 coplanar with hati+hatj+2hati and hati+2ha...

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  7. The angle between the vectors a=2hati+2hatj-hatk and b=6hati-3hatj...

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  8. If a and b are unit vectors, then the greatest value of |a+b|+|a-b| is

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  9. If a, b and c are non-coplanar vectors and r is a real number, then th...

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  10. Vectors a and b are such that |a|=1,|b|=4 and a.b=2." If " c=2axxb-3b,...

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  11. Three vectors a=hati+hatj-hatk, b=-hati+2hatj+hatk and c=-hati+2hatj-h...

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  12. If a parallelogram ABCD, |AB|=a, |AD|=b and |AC|=C, then DA. AB is equ...

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  13. Let a=a(1)hati+a(3)hatk, b=b(1)hati+b(3)hatk, c=c(1)hati+c(2)hatj+c(3)...

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  14. If hatu and hatv are unit vectors and theta is the acute angle between...

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  15. If the sum of two unit vectors is a unit vector, then the magnitude of...

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  16. The three vectors a, b and c with magnitude 3, 4 and 5 respectively an...

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  17. The vectors (a,a+1, a+2)(a+3, a+4, a+5)(a+6, a+7, a+8) are coplanar fo...

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  18. If a=hati+2hatk+3hatk, b=-hati+2hatj = hatk and c=3hati+hatj, then p s...

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  19. Let a=hati+2hatj+hatk, b=hati-hatj+hatk and c=hati+hatj-hatk. A vector...

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  20. If a=lambdahati+2hatj-3hatk, b=2hati+lambdahatj-hatk, c=hati+2hatj+hat...

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