Vector u has a magnitude of 5 units and a direction angle of 30°. vector v has a magnitude of 7 units and a direction angle of 120°. what is the direction angle of their vector sum?

Nearly 84°

Step-by-step explanation:

In the attached diagram

So, angle BAC = 120° - 30° = 90°

A parallelogram ABCD is a rectangle, its diagonal vector AD is the sum of vectors AB and AC.

Consider right triangle ABD. In this triangle

So, the sum vector AD has direction 30° + 54° = 84°

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

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