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A boat is moving with a velocity (3hati ...

A boat is moving with a velocity `(3hati +hatj)` with respect to ground. The water in the river is moving with a velocity `-3hati - 4hatj` with respect to ground. What is the relative velocity of boat with respect to river ?

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SL ARORA-VECTORS-Example
  1. Two forces vec(F)(1) = 3hati +4hatj and vec(F)(2) = 3hatj +4hatk are a...

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  2. If vec(A) = 3hati +4hatj and vec(B) = 7 hat I +24 hatj, find a vector ...

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  3. A boat is moving with a velocity (3hati +hatj) with respect to ground....

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  4. A bird moves with velocity 20m/s in a direction making an angle of 60^...

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  5. A force is inclined at 50^(@) to the horizontal. If its rectangular co...

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  6. An aeroplane takes off at angle of 30^(@) to the horizontal. If the co...

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  7. A man rows a boat with a speed of 18 km/hr in northwest direction. The...

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  8. Two billiard balls are rolling on a flat table. One has the velocity c...

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  9. Four persons K,L,M,N are initially at the four corners of a square of ...

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  10. Calculate the resultant of the following forces acting at a point, mak...

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  11. Prove that the vectors vec(A) = hati +2 hatj +3hatk and vec(B) = 2hati...

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  12. Find the value of lambda so that the vectors vec(A) = 2hati + lambda h...

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  13. If the magnitudes of two vectors are 3 and 4 and their scalar product ...

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  14. A body acted upon by a force of 50N is displaced through a distance of...

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  15. A body constrained to move along the z-axis of a co-ordinate system is...

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  16. A forc of 7hati + 6hatk newton makes a body move on a rough plane with...

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  17. Three vectors vec(A),vec(B) and vec(C) are such that vec(A) = vec(B)+v...

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  18. If |vec(A)+vec(B)| = |vec(A)-vec(B)|, find the angle between vec(A) an...

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  19. If vector P, Q and R have magnitude 5,12,and 13 units and vec(P)+vec(Q...

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  20. Determine the angles which the vector vec(A) = 5 hati + 0 hatj +5hat...

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