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The ratio of maximum and minimum magnitu...

The ratio of maximum and minimum magnitudes of the resultant of two vectors `vec(a)` and `vec(b)` is 3:1. Now, `|vec(a)|` is equal to

A

`|vec(b)|`

B

`2|vec(b)|`

C

`3|vec(b)|`

D

`4|vec(b)|`

Text Solution

Verified by Experts

The correct Answer is:
B
`(a+b)/(a-b)=3/1` or `3a-3b=a+b`
`2a=4b` or `a=2b`
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CENGAGE PHYSICS-VECTORS-Exercise Single Correct
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  2. The resultant of two vectors vec(A) and vec(B) is perpendicular to the...

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  3. The ratio of maximum and minimum magnitudes of the resultant of two ve...

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  4. Two forces, each equal to F, act as shown in (figure) Their resultant ...

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  5. Vector vec(A) is 2cm long and is 60^(@) above the x-axis in the first ...

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  6. What is the angle between two vector forces of equal magnitude such th...

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  7. The angle between vec(A)+vec(B) and vec(A)xxvec(B) is

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  8. The projection of a vector vec(r )=3hat(i)+hat(j)+2hat(k) on the x-y p...

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  9. If |vec(A)+vec(B)|=|vec(A)|=|vec(B)| then the angle between vec(A) and...

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

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  11. Given |vec(A)(1)|=2,|vec(A)(2)|=3 and |vec(A)(1)+vec(A)(2)|=3. Find th...

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  12. Three vector vec(A),vec(B), vec(C ) satisfy the relation vec(A)*vec(B)...

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  13. If vec(A)=vec(B)+vec(C ), and the magnitudes of vec(A),vec(B),vec(C ) ...

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  14. Given: vec(A)=Acos theta hat(i)+Asin theta hat(j). A vector vec(B), wh...

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  15. The angle which the vector vec(A)=2hat(i)+3hat(j) makes with the y-axi...

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  16. Given vec(P)=3hat(i)-4hat(j). Which of the following is perpendicular ...

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  17. In going from one city to another, a car travles 75km north, 60km noth...

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  18. What is the angle between vec(A) and vec(B), If vec(A) and vec(B) are ...

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  19. Two vectors vec(a) and vec(b) are such that |vec(a)+vec(b)|=|vec(a)-ve...

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  20. Given vec(A)=4hat(i)+6hat(j) and vec(B)=2hat(i)+3hat(j). Which of the ...

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