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If vec(A)=2hat(i)+6hat(j)and vec(B)=4hat...

If `vec(A)=2hat(i)+6hat(j)and vec(B)=4hat(i)+3hat(j),` the vector having the same magnitude as `vec(B)` and parallel to `vec(A)` is

A

`(5)/(2)(2hat(i)-6hat(j))`

B

`(sqrt10)/(4)(hat(i)-3hat(j))`

C

`(sqrt10)/(4)(4hat(i)+3hat(j))`

D

`(sqrt10)/(2)(hat(i)+3hat(j))`

Text Solution

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The correct Answer is:
D
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TARGET PUBLICATION-SCALARS AND VECTORS-Critical Thinking
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  2. A Unit vector in the direction of the negative of the vector (-hat(i)+...

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  3. If vec(A)=2hat(i)+6hat(j)and vec(B)=4hat(i)+3hat(j), the vector having...

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

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

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

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  7. A force vector applied on a mass is represented as vec(F)=6hat(i)-8hat...

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

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

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

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

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

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  13. Choose the CORRECT statement.

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

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

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

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

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

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

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