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Calculating magnitude of a vector and height

If A = (12i - 16j) and B = (-24i+10j), what is the magnitude of the vector C=(2A-B)?

a) 42
b) 22
c) 64
d) 90

An archer shoots an arrow with a velocity of 45 m/s at an angle of 50 degrees with the horizontal. What is the height of the arrow at a point 150 meters downrange?

a) 4.7 m
b) 47.0 m
c) 5.6 m
d) 56.0 m

Thank you.

Solution Summary

This solution is provided in 124 words in an attached .doc file. It uses simple calculation to find the magnitude of a vector and uses a diagram to as well as calculations to find height.