What is the dot product between two vectors a=[1,0,3] and b=[−1,1,2]?[−1,0,6]57
Question
What is the dot product between two vectors
a = [1, 0, 3]
and
b = [-1, 1, 2]?
The options are:
[-1, 0, 6]
57
Solution
The dot product of two vectors a and b is calculated as follows:
a.b = a1b1 + a2b2 + a3*b3
where a1, a2, a3 are the components of vector a and b1, b2, b3 are the components of vector b.
Given vectors a = [1, 0, 3] and b = [-1, 1, 2], we can substitute these values into the formula:
a.b = (1*-1) + (01) + (32) = -1 + 0 + 6 = 5
So, the dot product of vectors a and b is 5.
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