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If Vectors vec(A)= cos omega hat(i)+ sin...

If Vectors `vec(A)= cos omega hat(i)+ sin omega hat(j)` and `vec(B)=(cos)(omegat)/(2)hat(i)+(sin)(omegat)/(2)hat(j)`are functions of time. Then the value of `t` at which they are orthogonal to each other is

A

t = 0

B

`t=(pi)/(4omega)`

C

`t=(pi)/(2omega)`

D

`t=(pi)/(omega)`

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The correct Answer is:
D
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TARGET PUBLICATION-SCALARS AND VECTORS-Competitive Thinking
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  2. Three vector vec(A)=ahat(i)+hat(j)+hat(k) , vec(B)=hat(i)+bhat(j)+hat(...

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  3. If Vectors vec(A)= cos omega hat(i)+ sin omega hat(j) and vec(B)=(cos)...

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  4. Consider two vector vec(F1)=2hat(j)+5hat(k)and vec(F2)=3hat(j)+4hat(k)...

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  5. A particle moves from (1,0,3) to the point (-3,4,5), when a force vec(...

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  6. A force (4hat(i)+hat(j)-2hat(k)) ms^(-1) The power exerted is

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  7. A body of mass 1 kg begins to move under the action of a time dependen...

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  8. When vec(A)*vec(B)=-|vec(A)||vec(B)|, then

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  9. The angle between the two vectors, (vec(A)=3hat(i)+4hatj+5hat(k)) and ...

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  10. The angle theta between the vector vec(p)=hat(i)+hat(j)+hat(k) and uni...

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  11. Angle between the vectors (hat(i)+hat(j))and (hat(j)-hat(k)) is

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  12. A particle moves in the x-y plane under the action of a force vecF suc...

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  13. In a triangle ABC, the sides AB and AC represented by the vector 3hat(...

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  14. In a clockwise system :-

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  15. For vectors vec(A) and vec(B) making an angle theta which one of the f...

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  16. A vector vec(A) points verically upward and vec(B) points towards nort...

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  18. What is the value of linear velocity. If vec(omega)=3hat(i)-4hat(j)+ha...

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  19. If vec(A)xxvec(B)=vec(B)xxvec(A), then the angle between vec(A) and ve...

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  20. The moment of the force, vec(A)xxvec(B)=vec(B)xxvec(A), at (2,0,-3), a...

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