Vector u has a magnitude of 23 and vector v has a magnitude of 83. The angle between the two vectors is 126 degrees. a) Draw a fully-labelled vector diagram showing the two vectors and the resultant vector when they are added together. b) Find the magnitude of the resultant vector. c) Find the direction of the resultant vector relative to vector u.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 45E
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Vector u has a magnitude of 23 and vector v has a magnitude of 83. The angle between the two vectors is 126 degrees.
a) Draw a fully-labelled vector diagram showing the two vectors and the resultant vector when they are added together.
b) Find the magnitude of the resultant vector.
c) Find the direction of the resultant vector relative to vector u

Solding by finding the x and y of the vectors and adding 

Vector u has a magnitude of 23 and vector v has a magnitude of 83. The angle
between the two vectors is 126 degrees.
a) Draw a fully-labelled vector diagram showing the two vectors and the resultant
vector when they are added together.
b) Find the magnitude of the resultant vector.
c) Find the direction of the resultant vector relative to vector u.
Transcribed Image Text:Vector u has a magnitude of 23 and vector v has a magnitude of 83. The angle between the two vectors is 126 degrees. a) Draw a fully-labelled vector diagram showing the two vectors and the resultant vector when they are added together. b) Find the magnitude of the resultant vector. c) Find the direction of the resultant vector relative to vector u.
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