PREVNEXTSUBMITMenuResourcesGlossaryNotesClear and return to MenuSearch ResultsFilterSlide TextNotesSearch in:Check to includeSearch...TermsDefinitiondefinitionresourcessearchpauseplayreplaysubmitnextpreviousvolumeadding vectors by tip-to-tail drawing during a car ride sandy drives 28.0 km [n] then turns and drives 16.0 km [s 30˚ e] she makes one final turn and drives an additional 4.0 km [s]. what is her total displacement on this ride? step 1: determine the scale you will use. for this problem we will use a scale where 1 cm = 4 km. therefore, 28.0 km [n] will be represented by a vector diagram that is 7 cm long, 16.0 km [s 30˚ e] will be represented by a vector that is 4 cm long and 4 km [n] will be represented by a vector that is 1 cm long . 7 cm = 28 km 2. draw the first vector starting from the tail of the arrow and ending at the tip of the arrow. for this problem the first vector will represent the 28.0 km [n] that sandy drives initially. using our scale (1 cm = 4 cm) we will draw a vector that is 7 cm long. 4 cm = 16 km 3. from the tip of the first vector, draw the second vector. for this problem the second vector will represent the 16.0 km [s 30˚ e] that sandy drives next. using a protractor and applying our scale we will draw a vector that is 4 cm long and is at an angle of [s 30º e]. 30˚ 1 cm 4. continue until all vectors are drawn. the third and final vector will be 1 cm long and represent the 4.0 km [s] that sandy drives last. 5. draw the resultant vector by drawing a line from the tail of the first vector to the tip of the final vector. 2.6 cm 37˚ 6. using a ruler and a protractor, measure the magnitude (size) and direction (angle) of the resultant vector. apply the scale to determine the relative magnitude of the resultant vector. applying the scale 1 cm = 4 km: therefore, sandy traveled 10.4 km [n 37˚ e].