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If vec(a) be a unit vector, then :-...

If `vec(a)` be a unit vector, then :-

A

direction of `vec(a)` is constant

B

magnitude of `vec(a)` is constant

C

both (A) and (B)

D

any one of direction or magnitude is constant .

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The correct Answer is:
C
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BANSAL-UNIT DIMENSION, VECTOR & BASIC MATHS-EXERCISE - 1 [SINGLE CORRECT CHOICE TYPE]
  1. which of the following is not true ? If vec(A)=3hat(i)+4hat(j) and vec...

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  2. If vector vec(A)=hat(i)+2hat(j)+4hat(k) and vec(B)=5hat(i) represent t...

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  3. If vec(a) be a unit vector, then :-

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  4. If two numerical equal forces P and P acting at a point produce a resu...

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  5. Given that vec(A)+vec(B)=vec(R) and vec(A)+2vec(B) is perpendicular...

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  6. The value of lambda for two perpendicular vectors vec(A)=2vec(i)+lamb...

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  7. The resultant of two vectors of magnitude 3 units 4 units is 1 unit. ...

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  8. If vec(i) and vec(j) are unit vectors along x-axis and y-axis respecti...

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  9. The angle subtended by vector vec(i)+vec(j) with x-axis is :-

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  10. Moment about point whose coordinate is (1,2,3) of a force represented ...

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  11. If vec(A) and vec(B) denote the sides of a parallelogram and its area ...

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  12. A vector perpendicular to (hat(i)+hat(j)+hat(k)) and (hat(i)-hat(j)-...

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  13. The unit vector along vec(i)+vec(j) is :-

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  14. Two constant forces vec(F)(1) and vec(F)(2) acts on a body of mass 8 k...

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  15. Figure shows three vectors a, b and c. If RQ=2PR, which of the followi...

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  16. Component of -10hat(j) in the direction of 3hat(i)-4hat(j) is :-

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  17. If 3hat(i)-2hat(j)+8hat(k) and 2hat(i)+xhat(j)+hat(k) are at right ...

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  18. If vec(a)=4hat(i)+hat(j)-hat(k) , vec(b)=3hat(i)-2hat(j)+2hat(k) , the...

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  19. Write a force of 10 N in x-y plane in terms of unit vectors hat(i) a...

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  20. Two vectors vec(A) and vec(B) are such that |vec(A)+vec(B)|=|vec(A)-ve...

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