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What is the dot product of two vectors which are having magnitude equal to unity and are making an angle of 45°?
  • a)
    0.707
  • b)
    -0.707
  • c)
    1.414
  • d)
    -1.414
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What is the dot product of two vectors which are having magnitude equa...
The dot product of two vectors having the angle between them equal to 45° will have the product of the vector’s magnitude. As the vectors are of unit magnitude, their product will be unity. Thus the magnitude factor would be cosine function at 45°.
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Most Upvoted Answer
What is the dot product of two vectors which are having magnitude equa...
°

The dot product of two vectors is given by the product of their magnitudes and the cosine of the angle between them.

Let's assume the two vectors as a and b.

Magnitude of vector a = 1
Magnitude of vector b = 1

Angle between them = 45°

Therefore, the dot product of vectors a and b can be calculated as:

a · b = |a| |b| cos θ
a · b = (1)(1) cos 45°
a · b = (1)(1) (1/√2)
a · b = 1/√2

Hence, the dot product of two vectors having magnitude equal to unity and making an angle of 45° is 1/√2.
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