Vectors

Okay, so this week I am going to teach you how to work problems with vectors. This is very easy as long as you remember the few formulas that you need to know. So now I am going to give you the formulas that you need to remember.

Formulas:

• To add vectors: v + u = (a, b) + (c, d) = (a + c, b + d)
• To subtract vectors: v - u = (a, b) – (c, d) = (a - c, b – d)
• Scalar multiplication: kv = k * (a, b) = (ka, kb)
• To find a vector equation from two points, you do P2 - P1
• Vector equation: (x, y) = (x0, y0) + t (a, b)
• Parametric equations: x = x0 + at and y = y0 + bt
• To find the magnitude of a vector, you do |v| = sq. root of (x^2 + y^2)
• Component form is (r cos theta, r sin theta)

NOTE: Vectors are the slope of a line.

Okay, so now I am going to give you a few examples to help you better understand.


Example: If g=(2,6) and f=(7,1) find g+f and g-f

• (2+7,6+1) = (9, 7)
• (2-7, 6-1) = (-5, 5)
• Your answers are (9,7) and (-5,5)

So it's as easy as that! I hope you now know how to work these types of problems. Well, I am going to bed. Byee!

--Halie!