Kittenwinchester14
Kittenwinchester14 Kittenwinchester14
  • 01-11-2018
  • Mathematics
contestada

The dot product of two vectors with magnitudes of 10 and 6 is equal to 30. What is the angle formed by the vectors?

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altavistard
altavistard altavistard
  • 01-11-2018

Answer:

60 degrees or pi/3 radians

Step-by-step explanation:

Remember that the dot product of two vectors is itself a scalar.

Vector A   dot   Vector B = |A||B|cos theta   is the appropriate formula here.

We are told that the dot product value is 30.  Thus,

30 = 10*6^cos theta, where theta is the angle formed by the vectors.

30

----- = 1/2 = cos theta.

60

Find the inverse cosine of 1/2.  It's 60 degrees or pi/3 radians.

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