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A day full of math games & activities. Find one near you.
Solution:
Let the vectors
a = 7i + 4j
b = 3i + 5j
We know that if
U = (U1)i + (U2)j
And
V = (V1)i + (v2)j
Then the dot product U.V will be:
U.V = (U1).(V1) + (U2).(V2)
Therefore
a.b = (7)(3) + (4)(5)
= 21 + 20
a.b= 41
Summary:
If a = <7, 4>, b = <3, 5>, then a.b = 41