Warm Up 1) Draw a vector 2) Vectors are defined by their ____________and ___________.

Finish Test

Vectors You CAN –Move them –Describe them by their magnitude and direction Magnitude means length or strength –Break them into x and y components, and use those to describe them Use Trig to find components –Think of them as the hypotenuse of a right triangle. One leg, parallel to x axis is x component One leg, parallel to y axis is y component –Add (and Subtract) them

Vectors You CANNOT –Turn them (change their direction) –Make them longer or shorter

A Vector Tail Tip Magnitude Direction

Labeling Vectors Write the name of the vector with an arrow over it. –We can also write the name of the vector in bold font

Adding Vectors When we add vectors we add them “Tail to tip” For instance if A + B = C then we take vectors A and B and we move one so that its tail is touching the tip of the other. To get the answer (Vector C) we draw a new vector from the tail of the first vector to the tip of the second vector

A B A + B See? Tail to Tip A + B = C C This is the answer

Moodle Respond to the prompt in the forum for this week. Read the prompt for next week. This is homework. Due Nov. 14

Components This vector is 3 units long. X component = 0 Y component = 3 This vector is 4 units long. X component = 4 Y component = 0

Components 36.87° 5 The x component is the side along the x axis. This is adjacent to the angle. We will use cos to find its length Vector C This is Cx, the x component of C. Magnitude of Cx = Length of C, Times the cosine of the angle or Cx = C * cos Cx =5 * cos Cx = 4

Components 36.87° 5 The y component is the side along the y axis. This is adjacent to the angle. We will use sin to find its length Vector C This is Cy, the y component of C. Magnitude of Cy = Length of C, Times the sine of the angle or Cy = C * sin Cy =5 * sin Cx = 3 Cy

Components So vector C has –X component = 4 –Y component = 3 –Overall (or net) magnitude of 5 Notice that the components and magnitude obey the Pythagorean theorem

Warm Up Vector F has a magnitude of 10 and a direction of 53.2 degrees above the x axis. A) Draw F. B) Find the x component of F. C) Find the y component of F

Notebook Page Table of contents Page warm ups Page Notes Page Personal Physics Demons Page Practice Problems Page Homework

Adding vectors using components If we are adding two vectors, find the x and y components of each one. Add the x components up (direction matters!) –What you get is the x component of the resultant Add the y components up –What you get is the y component of the resultant

Adding vectors using components Use the components you found to make the resultant Vector

Homework Pg 65 (Q 5-8; P 4, 5, 7-9a) P10