'Introduction To Vectors' Math Worksheet printable pdf download

'Introduction To Vectors' Math Worksheet

INTRODUCTION TO VECTORS I

VECTORS

SCALARS

A property with a direction

Displacement

Distance

Velocity

Speed

Acceleration

Time

Force

Weight

Mass

VECTORS:

Represented by arrows:

-

Length = amount or magnitude of vector

Direction:

In one dimensional motion:

Back and forth, positive and negative, backwards, forwards

In two dimensional motion:

Direction of arrow

Compass points: North, South, East, West, etc…

Angle (relative to some line)

How to add vectors:

One dimension: If I go 3 m/s N, with a wind at 4 m/s S?

Vpg = V pa + Vag

= 3m/s + -4 m/s

= -1 m/s or 1 m/s South

But in two dimensions:

If I go 3 m/s N with a wind at 4 m/s E?

Vpg = Vpa + V pg.

Graphically, with a ruler and protractor on graph paper

: Vpg is the resultant of the two vectors drawn head to tail, Vpg = 5 m/s, or

use Algebraic Method: Pythagorean Theorem ( C

Vpg = square root ( 3 squared plus 4 squared)= 5 m/s

Direction?.... use protractor or TRIG: angle = inverse tangent (4/3) = 53 degrees

Order doesn’t matter for adding!

READ SEC. 3-1, DO SEC REVIEW pg 87

'Introduction To Vectors' Math Worksheet