<span>1. Find a ⋅ b.
a = <7, 4>, b = <3, 5> (2 points)
41 <---------- right answer
<10, 9>
-1
<21, 20>
Explanation:
a . b means the dot or scalar product of the vectors a and b.
The scalar product of vectorr <x1,y2> and <x2,y2> is (x1)*(y1) + (x2)*(y2)
So, a . b = 7*3 + 4*5 = 21 + 20 = 41 <-------- answer
2. Find a ⋅ b
a = 10i + 9j, b = 4i + 3j (2 points)
<40, 27>
<14, 12> 67 <---------- answer
-13
Explanation: Again you are required to find the dot product of two vectors. In this case the vectors are given using the representation with the unit vectors i and j.
The dot product of the vectors (x1 i + y1 j) . (x2 i + y2 j) is x1*x2 + y1*y2