Question

Let u = PQ be the directed line segment from P(0,0) to Q(9,12) and let c be a scalar such that c < 0. which statement best describes c u?

Answer 1

D. The terminal point of vector c u lies in quadrant II.

Answer 2

Answer with explanation:

⇒u= P Q

Coordinates of P = (0,0)

Coordinates of Q= (9,12)

There is also a scalar,c such that, c<0.

Now, we will first find ,→ c P=(0,0)

→c Q= (9 c , 12 c), where c, is less than 0.

→c u=c × P Q

Both , 9 c, and 12 c, will be negative, So, this point will lie in third Quadrant.

Option A: The terminal point of vector cu lies in Quadrant III.