What is a vector and what is a scalar quantity? How do we represent a vector quantity? Sep 128:06 AM 1 Graphical methods for adding vectors: We will use a method known as tail‐to‐tip TAIL TO TIP METHOD FOR ADDING VECTORS (1) Move vector tail to tip (2) Draw vector tail to tip Same direction Opposite direction At right angles Sep 128:08 AM 2 (1) Draw the negative for the vector below... (2) Draw the negative for the vector below... Sep 128:18 AM 3 You cannot add scalars to vectors, but you can multiply them! (1) Draw the vector 2V (2) Draw the vector ‐0.5V (3) Draw the resultant of V1 ‐ V2 below Sep 128:19 AM 4 HUGE!!! ‐‐> Adding vectors by components The process of finding the components of a vector is known as resolving the vector into its components (1) Resolve the vector V into its components (2) Resolve the vector V into its components Sep 129:09 AM 5 How do we find the components of a vector mathematically? Trig Functions Equations 33a and 33b on page 50 Sep 129:12 AM 6 Vector quantities need ____________________________ and ______________________________ There are two ways to specify a vector... 1) 2) Sep 129:38 AM 7 #8) Vector V1 is 6.6 units long and points along the negative x axis. Vector V2 is 8.5 units long and points +45° to the positive x axis. (a) What are the X and Y components of each vector? (b) Determine the sum V1 + V2 (magnitude and direction) Sep 129:46 AM 8 #14 (a) Determine B ‐ 2A B (26.5) 56.0° A (44.0) 28.0° Sep 129:48 AM 9 Homework : Pg 65‐66: You should try 1‐14, turn in #9 and #10 Sep 129:51 AM 10
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