Question

Assuming motion is on a straight path, what would result in two positive components of a vector?

A)a train moving north of east at an angle of 25°

B)a bus moving north of east at an angle of 95°

C)a boat moving south of west at an angle of 40°

D)a car moving south of west at an angle of 10°

Answer 1

Answer: option A) a train moving north of east at an angle of 25°


Explanation:

1) You need to choose your axis. In this case North is vertical and positive, South is vertical and negative, East is horizontal and positive, and West is horizontal and negative.

2) The vector with the two positive components is a vector in the first quadrant (North and East). That is what North of East 25° means.

3) Regarding the other options:

B) a bus moving North of East at an angle of 95°: since the angle is greater tnan 90° the vector is in the second quadrant: its horizontal component is negative.


C) a boat moving South of West at an angle of 40°: this is in the third quadrant: the two components are negative.

D) a car moving south of west at an angle of 10°: as in the option C), this is in the third quadrant: the two components are negative.

Answer 2

A.

Two positive components means that the vector should lie in the first quadrant and not be parallel to the x or y axis; the only option that satisfies this is A.