Vector A has a magnitude of 2.5 m/s at a direction of 18 degrees and Vector B has a magnitude of 4.5 m/s at a direction of 240 degrees. A) Sketch the two vectors roughly to scale, and find their sum C= A + B using a graphical method. B) Find the components of A and B, including any necessary negative signs. C) Find the magnitude and direction of C using the algebraic/components method.
Vector A has a magnitude of 2.5 m/s at a direction of 18 degrees and Vector B has a magnitude of 4.5 m/s at a direction of 240 degrees. A) Sketch the two vectors roughly to scale, and find their sum C= A + B using a graphical method. B) Find the components of A and B, including any necessary negative signs. C) Find the magnitude and direction of C using the algebraic/components method.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Vector A has a magnitude of 2.5 m/s at a direction of 18 degrees and Vector B has a magnitude of 4.5 m/s at a direction of 240 degrees.
A) Sketch the two
B) Find the components of A and B, including any necessary negative signs.
C) Find the magnitude and direction of C using the algebraic/components method.
Expert Solution
Step 1
A)
It is given that vector has a magnitude of at a direction of and vector has a magnitude of at a direction of .
The Sketch the two vectors roughly to scale is given as,
using the parallelogram law,
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