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.

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.
Show full solution, thank you!
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
|||| = , |||| = and the angle between them measures degrees

first find the sum of and
here is a sketch:

is a resultant of the vectors and and its magnitude is a magnitude we need
using cos rule, we have
||||=
||||= and direction angle is degrees

RELATED QUESTIONS
B. Magnitude of Vectors (Trigonometry) 3. Find the magnitude and direction of the sum w... (answered by CPhill)

B. Magnitude of Vectors (Trigonometry) 2. Find the magnitude of the x- and y-... (answered by CPhill)

TRIGONOMETRY B. Magnitude of Vectors 1. Find the magnitude of the Vector ML if point M... (answered by Alan3354)

B. Magnitude of Vectors (Trigonometry) 1. Find the magnitude of the Vector ML if point M (answered by ikleyn)

1. The magnitude and direction of vectors u and v are given. Find vector w's polar... (answered by richard1234)

Find the magnitude and direction angle θ of the following vectors. Round the... (answered by Theo)

Find the magnitude and direction angle θ of the following vectors. Round the... (answered by stanbon)

Find the component form of the following vectors. Round your answers to the tenth.... (answered by ikleyn)

The vectors i, j are unit vectors along the x-axis and y-axis respectively. the vectors... (answered by dfrazzetto)