Vectors A delivery truck leaves a warehouse and travels due north for 25 km. It

Question

Vectors A delivery truck leaves a warehouse and travels due north for 25 km. It then makes a left turn and travels due west for another 40 km before arriving at its destination. a) Draw a simple vector diagram showing how the truck traveled between the warehouse and its destination. Then draw the resultant displacement vector ???? that represents the vector sum of the two legs of the trip. (Be sure to label your diagram clearly!) b) From your vector diagram determine the x- and y-components of the resultant displacement vector ???? . c) What is the magnitude of the resultant vector ???? that represents the displacement from start to finish for the trip? d) If the truck driver had traveled in a single straight line, in which direction should he have traveled? Express your answer in terms of an angle measured with respect to the positive x-axis that is directed due east.

Explanation / Answer

since two vectors i.e north and west vectors are perpendicular to each other resultant is the vector joining initial and final destination points km.nd magnitude of resultant = sqrt(40^2 + 25^2 ) = 47.17 km x,y components remain same as the north and west distnaces each respectively if he had to tarvel in single st. line he shud have travelled in the direction of the resultant obtaine dby joining initial and final destination points.

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