# Magnitude and direction of the resultant of two vectors

Two vectors having equal magnitudes (A) makes an angle z with each other. Find the magnitude and direction of the resultant and prove that the resultant of two equal vectors bisects the angle between them.

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#### Solution Preview

The magnitude of the resultant will be,

B=[A^2 + A^2 + 2AA Cos(z)]^(1/2) (whole root)

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#### Solution Summary

Solution gives the magnitude and direction of the resultant of two vectors and shows that resultant of two equal vectors bisects the angle between them.

Determine the magnitude and direction of the resultant vector.

1. Use trigonometric ratio and Pythagorean theorem to add the vectors given. Determine the magnitude and direction of the resultant vector.

B=42.1

A=101.1

x θ =17.5 degrees

y θ =12.9 degrees

2. Determine the resultant of the vectors with the given magnitude and directions. Positive angles are measured counterclockwise from the positive x-axis and negative angles are measured clockwise from the positive x-axis.

A; 565, 154.0 degrees

B; 1241, 233.0 degrees