SOLUTION: TRIGONOMETRY B. Magnitude of Vectors 3. Find the magnitude and direction of the sum w of the following vectors. Express the direction as a measure of the angle between v and w.

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Question 1191602: TRIGONOMETRY
B. Magnitude of Vectors
3. Find the magnitude and direction of the sum w of the following vectors. Express the direction as a measure of the angle between v and w.
If ||u|| = 6.5, ||v|| = 7.2 and the angle between them measures 150 degrees.
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
||u|| = 6.5, ||v|| = 7.2 and the angle between them measures 150 degrees

first find the sum of u and v
here is a sketch:

u%2Bv is a resultant of the vectors u and v and its magnitude is a magnitude we need
using cos rule, we have
||u%2Bv||=6.5%5E2%2B7.2%5E2-2%2A6.5%2A7.2%2Acos%2830%29
||u%2Bv||=13.03 and direction angle is 30 degrees