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ijazktk · May 4, 2012, 03:23 AM

Determine the magnitude of the vector sum V=V1 + V2 and the angle θx which V makes with the positive x-axis. Complete both graphical and algebraic solutions. Solve this question By Addition of vector by Rectangular component method?

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ebaines · May 4, 2012, 06:02 AM

Originally Posted by ijazktk

Determine the magnitude of the vector sum V=V1 + V2 and the angle θx which V makes with the positive x-axis. Complete both graphical and algebraic solutions. Solve this question By Addition of vector by Rectangular component method?

To add the vectors $\vec v_1$ and $\vec v_2$ you simply add the x and y components of each. If $\vec v_1 = a \hat i+ b \hat j$ and $\vec v_2 = c \hat i + d \hat j$ then $\vec v_1 + \vec v_2 = (a+c) \hat i + (b+d) \hat j$ . Here $\hat i$ and $\hat j$ represent unit vectors in the x and y directions, respectively.

The angle that a vector $\vec v = a\hat i + b \hat j$ makes to the horizontal axis can be found using $\theta = arctan(\frac b a )$ .