Question

A position vector r has the following x and y components: r_x = 12.2 m r_y= 7.5 m. What is the direction of this vector? Give your answer as an angle measured counterclockwise from the +x direction. What is the magnitude of this vector? If you doubled both the x and y components of this vector, how would the answers to parts (a) and (b) change? The direction would remain the same, but the magnitude would increase by a factor of 4. The direction of the vector would rotate clockwise by an angle equal to twice the angle measured counterclockwise from +x, but the magnitude would remain the same. The angle counterclockwise from +x would increase by a factor of 2, but the magnitude would remain the same. The direction would remain the same, but the magnitude would increase by a factor of 2.

Answer 1

a)#2 tan-1 (25 7.5 12.2 =31.5° b) magnitude of vector R-V2.22 +7.52 14.32m c) 0-tan15 =31.5° R 24.42+15* 24.4 28.64m option the direction would remain the same but the magnitude would increase by a factor of 2