What is the angle between two vectors a=[1,0] and b=[0,1]?30 degrees45 degrees60 degrees90 degrees
Question
What is the angle between two vectors
a = [1, 0] and b = [0, 1]?
- 30 degrees
- 45 degrees
- 60 degrees
- 90 degrees
Solution
The angle between two vectors a=[1,0] and b=[0,1] is 90 degrees.
Here's the step by step solution:
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The dot product of two vectors a and b is given by a.b = |a||b|cosθ, where |a| and |b| are the magnitudes of vectors a and b respectively, and θ is the angle between them.
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For vectors a=[1,0] and b=[0,1], the dot product a.b = (10 + 01) = 0.
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The magnitudes of vectors a and b are both 1 (since sqrt(1^2 + 0^2) = 1 and sqrt
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