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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
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Solution

The angle between two vectors a=[1,0] and b=[0,1] is 90 degrees.

Here's the step by step solution:

  1. 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.

  2. For vectors a=[1,0] and b=[0,1], the dot product a.b = (10 + 01) = 0.

  3. The magnitudes of vectors a and b are both 1 (since sqrt(1^2 + 0^2) = 1 and sqrt

This problem has been solved

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