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A boat is moving with a velocity 3 hat i...

A boat is moving with a velocity `3 hat i+ 4hat j` with respect to ground. The water in the river is moving with a velocity `-3 hat i - 4 hat j` with respect to ground. The relative velocity of the boat with respect to water is.

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The correct Answer is:
9 min, 40 km `hr^(-1)`
`(V_(B)T)/(V_(B)-20)=18, (V_(B)T)/(V_(B)+20)=6, (V_(B)+20)/(V_(B)-20)=3`

`rArr V_(B)+20=3V_(B)-60 v_(B)=40 km//h`
`:. T=(6(V_(B)+20))/(V_(B))=(6xx60)/(40)=9 min`
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  • One plane is parallel to the vectors hat i + hat j + hat k and 2 hat i Other plane is parallel to the vectros hat i + hat j and hat i - hat k . The angle between the line of intersection of both the planes and the vector 2 hat i - hat j is ................

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