This week in math I learned about vectors. Before I explain how to work with vectors, I am going to explain what a vector is. A vector is a quantity that has both magnitude and direction. The magnitude of a vector AB is the distance from the initial point to point A to the terminal point B, and is written lABl . If a vector is drawn in a coordinate plane, you can use the Distance Formula top find its magnitude.
l AB l = / (x2 –x1)2 + (y2 –y1)2
l AB l = / (x2 –x1)2 + (y2 –y1)2
Finding the magnitude of a vector
Write the component form of the vector and find its magnitude.
Ex) P (0, 0), Q (-6, 3)
Component Form =
PQ= <-6 -0, 3-0>
= <-6,3>
Use the Distance Formula to find the magnitude
lPQl = /(-6–0)2 + (3 –o)2 = / 45 = approximately 6.7
Write the component form of the vector and find its magnitude.
Ex) P (0, 0), Q (-6, 3)
Component Form =
PQ= <-6 -0, 3-0>
= <-6,3>
Use the Distance Formula to find the magnitude
lPQl = /(-6–0)2 + (3 –o)2 = / 45 = approximately 6.7
How boring..
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