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If vec a is a non zero vector a magnit...

If ` vec a` is a non zero vector a magnitude `' a^(prime)\ a n d\ lambda` is a non a zero scalar, then `lambda\ vec a` is a unit vector if

A

`lambda =1`

B

`lambda = -1`

C

`a=|lambda|`

D

`a=(1)/(|lambda|)`

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The correct Answer is:
D
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MODERN PUBLICATION-VECTOR ALGEBRA -Objective Type Questions (A. Multiple Choice Questions)
  1. In Delta ABC, which of the following is not true ?

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  2. If vec(a) and vec(b) are two collinear vectors, then which of the fol...

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  3. If vec a is a non zero vector a magnitude ' a^(prime)\ a n d\ lambda...

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  4. Let lambda be any non - zero scalar. Then for what possible values of ...

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  5. Let the vectors vec a and vec b be such that |vec a|=3 and | v...

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  6. Area of a rectangle having vertices : A (-hat(i)+(1)/(2)hat(j)+4hat...

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  7. If theta is the angle between two vectors vec a\ a n d\ vec b ,\ t ...

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  8. Let vec(a) and vec(b) be two unit vectors and theta is the angle betwe...

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  9. Write the value of hat(i).(hat(j)xxhat(k))+hat(j).(hat(i)xxhat(k))+ha...

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  10. If is the angle between any two vectors vec a and vec b , t...

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  11. The area of the triangle whose adjacent sides are : vec(a)=3hat(i)+hat...

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  12. The magnitude of the vector 6hat(i)+2hat(j)+3hat(k) is :

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  13. The vector with initial point P(2,-3,5) and terminal point Q(3,-4,7) i...

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  14. The angle between the vectors hat i -hat j and hat j - hat k is

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  15. The value of 'lambda' for which the two vectors : 2hat(i)-hat(j)+2hat(...

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  16. If (2hat(i)+6hat(j)+ 27hat(k))xx(hat(i)+phat(j)+qhat(k))=vec(0), then ...

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  17. If vec(a)=2hat(i)+3hat(j)-hat(k), then |vec(a)| is :

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  18. Write the value of hat(i).(hat(j)xxhat(k))+hat(j).(hat(i)xxhat(k))+ha...

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  19. For mutually perpendicular unit vectors hat(i), hat(j), hat(k), we hav...

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  20. Direction - ratios of vector vec(a)=hat(i)+hat(j)-2hat(k) are :

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