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The vector vec(P)= ahat(i)+ahat(j)+3hat(...

The vector `vec(P)= ahat(i)+ahat(j)+3hat(k)` and `vec(Q)= ahat(i)-2hat(j)-hat(k)` are perpendicular to each other. The positive value of `a` is

A

3

B

4

C

9

D

13

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The correct Answer is:
A
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TARGET PUBLICATION-SCALARS AND VECTORS-Competitive Thinking
  1. vec(A) and vec(B) are two vectors given by vec(A)=2hat(i)+3hat(j) ...

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  2. If a vector 2hat(i)+3hat(j)+8hat(k) is perpendicular to the vector 4ha...

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  3. The vector vec(P)= ahat(i)+ahat(j)+3hat(k) and vec(Q)= ahat(i)-2hat(j)...

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

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

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

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  7. A force (4hat(i)+hat(j)-2hat(k))' N with velocity at (2(i)+2hat(j)+3h...

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

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

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

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

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

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

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

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  15. In a clockwise system :-

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

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

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  18. Which of the following relation is not correct?

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  19. What is the value of linear velocity if vecomega = 3 hati - 4hatj + ha...

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

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