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Vector A is 3.0 m in length and is directed along X-axis. Vector B is 4.0...

Vector A is 3.0 m in length and is directed along X-axis. Vector B is 4.0 m in length and makes 60 degrees with X-axis. If R=A+B, find the direction of R with respect to +X-axis.

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Answer #1

Here R = A+B

= 3i + 4*cos 60 degree i + 4*sin 60 degree j

= 5i + 3.464j

= sqrt(5^2+3.464^2)

= 6.08 m

direction = arctan(3.464j/5)

= 34.7 degree answer

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