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If vectors A=hati+2hatj+4hatk and B=5hat...

If vectors `A=hati+2hatj+4hatk` and `B=5hati` represent the two sides of a triangle, then the third side of triangle has length equal to:

A

6

B

`sqrt(56)`

C

Both of the above

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
C
Let the third side be `vec(C )`, then `|vec(C )|=|vec(A)+vec(B)|` or `|vec(C )|=|vec(A)+vec(B)|`
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CENGAGE PHYSICS ENGLISH-VECTORS-Exercise Single Correct
  1. The projection of a vector vec(r )=3hat(i)+hat(j)+2hat(k) on the x-y p...

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

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  3. If vectors A=hati+2hatj+4hatk and B=5hati represent the two sides of a...

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

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

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

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  7. Let A=hatiA cos theta+hatj A sin theta be any vector .Another vector B...

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

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

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  10. In going from one city to another, a car travels 75km north, 60km nort...

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

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

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

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  14. Given vec(A)=2hat(i)+phat(j)+qhat(k) and vec(B)=5hat(i)+7hat(j)+3hat(k...

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  15. If vec(A) is perpendicular to vec(B), then

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  16. If the angle between the vectors vec(a) and vec(b) is an acute angle, ...

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  17. Given that vec(A)+vec(B)=vec(C ). If |vec(A)|=4, |vec(B)|=5 and |vec(C...

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  18. If vec(b)=3hat(i)+4hat(j) and vec(a)=hat(i)-hat(j) the vector having t...

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  19. Choose the wrong statement.

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  20. What displacement at an angle 60^(@) to the x-axis has an x-component ...

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