Vectors

Alex

________ pulls with 120 Newtons of force at 45° as show.

Sam

________ pulls with 200 Newtons of force at 60°.

Vectors

________ help explain that.

common way

The most ________ is to first break up vectors into x and y parts, like this: The vector a is broken up into.

C

________= (8, 13) + (26, 7)= (8+26, 13+7)= (34, 20)

Y

________= r × sin (θ)= 200 × sin (60°)= 200 × 0.8660= 173.2.

scalar

A(n) ________ has magnitude (size) only.

magnitude of a vector

What is shown by two vertical bars on either side of the vector: OR it can be written with double vertical bars (so as not to confuse it with absolute value): We use Pythagoras 'theorem to calculate it:

vector a

The most common way is to first break up vectors into x and y parts, like this: What is broken up into? Answer with a single words or term.

length of the line

The ________ shows its magnitude and the arrowhead points in the direction.

Y

________= r × sin (θ)= 120 × sin (−45°)= 120 ×- 0.7071= −84.8.