SOLUTION: Two vectors p and q act an angle sixty degrees with each other. If p is 20 unit and q is 8 unit. Find the resultant and its magnitude

Question 1149366: Two vectors p and q act an angle sixty degrees with each other. If p is 20 unit and q is 8 unit. Find the resultant and its magnitude
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

If we are given only the angle between the two vectors, we can determine the magnitude of the resultant vector; but we have no information that allows us to determine that vector.

For simplicity, let vector p be horizontal, with vector q making an angle of 60 degrees with p. Then the x component of the resultant vector is

and the y component is

Then the magnitude of the resultant vector, using the Pythagorean Theorem, is

I leave it to you to do the calculation....

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