Question

Vectors u and v are shown on the graph.

vector u which points to the right 2 units and up 7 units, vector v which points right 5 units and up 2 units, both vectors share initial point

the graph: https://snipboard.io/5h4gVo.jpg

Which of the following vectors represents v – u?

The answer options: https://snipboard.io/Keur0x.jpg

Answer 1

vector subtraction is similar to vector addition, with one step added. first, think of the problem as v + (-u) and determine (-u) by flipping the vector around 180 degrees.



then you can add v + (-u) as normal (put the tail of (-u) where the tip of (v) is and draw the vector from the tail of v to the tip of u.

Answer 2

oh sorry, I checked the answer choices, it's only asking you to show the subtraction, not the final resultant vector. in this case, simply put the tail of (-u) by the tip of (v), don't draw the final vector.

Answer 3

Notice the direction of the vectors. Vector v (the shorter vector) is pointing up and to the right. Vector -u is pointing down and to the left. Neither A nor D are correct based on this information.

Answer 4

Choice B has vector v pointing in the wrong direction. Vector v points up and to the right. Therefore choice B is wrong.

Choice C has vectors v and -u pointing correctly. Vector v points up and to the right. Vector -u points down and to the left. Choice C is the only possibility.