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Vector vec(A)=2hat(i)-3hat(j)+ahat(k)and...

Vector `vec(A)=2hat(i)-3hat(j)+ahat(k)andvec(B)=12hat(i)-bhat(j)+6hat(k)` are parallel to each other, then values of 'a' and 'b' are

A

1,18

B

1,-18

C

`-1,18`

D

`-1,-18`

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A
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TARGET PUBLICATION-SCALARS AND VECTORS-Critical Thinking
  1. If vec(A)=2hat(i)+6hat(j)and vec(B)=4hat(i)+3hat(j), the vector having...

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

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  3. A vector of magnitude b is rotated through angle theta. What is the ch...

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  4. The resultant of two vectors vec(P) and vec(Q) is vec(R ). If the magn...

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  5. Choose the correct options A force vector applied on a mass is repres...

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  6. Vector vec(A)=2hat(i)-3hat(j)+ahat(k)andvec(B)=12hat(i)-bhat(j)+6hat(k...

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  7. If a 4hat(i)+3hat(j)+8hat(k) is perpendicular to the vector 4hat(j)-4h...

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  8. A force vec(F)=3hat(i)+chat(j) +2hat(k) acting on a particle causes a ...

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  9. Work done when a force of (7hat(i)-4hat(j)-4hat(k)) N moves a body thr...

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  10. If vec(P)=hat(i)-2hat(j)-3hat(k)and vec(Q)=4hat(i)-2hat(j)+6hat(k) , t...

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  11. Choose the CORRECT statement.

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  12. The sine of the angle between 3hat(i)+hat(j)+2hat(k)and 2hat(i)-2hat(j...

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  13. If vec(A).vec(B)=0andvec(A)xxvec(B)=0, then which of the following con...

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  14. If the ratio of the dot product of two vectors and cross product of sa...

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  15. Select the WRONG one.

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  16. If vec(a) and vec(b) are two vectors then the value of (vec(a) + vec(b...

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  17. Given vec(p)*(vec(P)+vec(Q))=P^(2) then the angle between vec(P)andvec...

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  18. Assertion : If dot product and cross product of vec(A)andvec(B) are ze...

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  19. Assertion : vec(A)xxvec(B) is perpendicular to both vec(A)+vec(B) as w...

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  20. A small ball is hung by a string fixed to a wall. The ball is pushed a...

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