INTRODUCTION TO VECTORS Scalars and Vectors VECTORS VS

VECTORS VS SCALARS Scalars- A physical quantity that has only magnitude but no direction.

MAGNITUDE AND DIRECTION • Magnitude is a Size or Number • Represented by the

REFERENCE FRAME Frame of Referenece - A system used to describe the position and

PROPERTIES OF VECTORS Vectors can be added in any order. Add components in the

METHODS OF ADDING VECTORS VECTOR RESOLUTION Parallelogram Method Pythagorean Theorem (Head to Tail) Combine

PYTHAGOREAN THEOREM c 2 = a 2 + b 2 (hypotenuse)2 = (adjacent)2 +

“HEAD TO TAIL” METHOD OF VECTOR ADDITION Let’s Practice (Draw the resultant vector): A

Lets Practice 3 m 1 m 4 m 1 m This time we are

Wrap up 1. What is the difference between a scalar and vector quantity? 2.

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INTRODUCTION TO VECTORS Scalars and Vectors

VECTORS VS SCALARS Scalars- A physical quantity that has only magnitude but no direction. Ex. include volume, speed, and distance. Vectors- A physical quantity that has both a magnitude & a direction. Ex. include force, velocity, and displacement.

MAGNITUDE AND DIRECTION • Magnitude is a Size or Number • Represented by the length of an arrow • Directions such as North, South, East, and West can be represented mathematically using degrees. • Direction arrow points • Component – Pieces or parts

REFERENCE FRAME Frame of Referenece - A system used to describe the position and movement of an object in relation to other objects. I. O. W – Point of view § I. e. From your R. F. you are not moving, but from the R. F. of the moon you are moving. § Are car driving past you at 70 mph appears to drive by very fast. However when you are in a car going 70 mph, the car next to you seems to stand still

PROPERTIES OF VECTORS Vectors can be added in any order. Add components in the same direction. Subtract components in opposing directions Multiplying or dividing vectors by scalars still results in vectors.

METHODS OF ADDING VECTORS VECTOR RESOLUTION Parallelogram Method Pythagorean Theorem (Head to Tail) Combine the components (Pieces) to find the resultant

VECTORS CAN BE ADDED IN ANY ORDER

PYTHAGOREAN THEOREM c 2 = a 2 + b 2 (hypotenuse)2 = (adjacent)2 + (opposite)2 r 2 = x 2 + y 2 (resultant)2 = (∆x)2 + (∆y)2

“HEAD TO TAIL” METHOD OF VECTOR ADDITION Let’s Practice (Draw the resultant vector): A B C

THE PLANE AND THE WIND

THE RIVER BOAT

Lets Practice 3 m 1 m 4 m 1 m This time we are going to use the table method to determine the resultant? r 2 = x 2 + y 2 X 1 2 3 4 Total Y

Wrap up 1. What is the difference between a scalar and vector quantity? 2. A long arrow indicates a larger ______? 3. Does it matter how anyone adds vectors together? 4. What are three vector quantities we use in physics? Below is the path a student takes to school. Determine the distance and displacement the student traveled. (Not drawn to scale) 3 M 3 m 2 m 2 m