Consider the three displacement vectors A = (-2î - 3j) m, B = (4î - 5j) m, and C = (-6î + 5j) m. Use the component method to determine the following. (Take the +x direction to be to the right.) (a) the magnitude and direction of the vector D =Ã +B +C magnitude m direction ° counterclockwise from the +x axis (b) the magnitude and direction of Ẽ = -Ã -B +C magnitude direction ° counterclockwise from the +x axis

Principles of Physics: A Calculus-Based Text
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Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 50P: Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component...
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Consider the three displacement vectors  = (−2î− 3ĵ) m,  = (4î − 5ĵ) m, and = (−6î + 5ĵ) m.

Use the component method to determine the following. (Take the +x direction to be to the right.)

 

Consider the three displacement vectors A = (-2î – 3ĵ) m, B = (4î – 5ĵ) m, and C = (-6î + 5j) m. Use the component method to determine the following. (Take the +x direction to be to the
%3D
right.)
(a) the magnitude and direction of the vector D = A + B +C
magnitude
direction
° counterclockwise from the +x axis
(b) the magnitude and direction of E
A -B +C
magnitude
direction
° counterclockwise from the +x axis
Transcribed Image Text:Consider the three displacement vectors A = (-2î – 3ĵ) m, B = (4î – 5ĵ) m, and C = (-6î + 5j) m. Use the component method to determine the following. (Take the +x direction to be to the %3D right.) (a) the magnitude and direction of the vector D = A + B +C magnitude direction ° counterclockwise from the +x axis (b) the magnitude and direction of E A -B +C magnitude direction ° counterclockwise from the +x axis
Expert Solution
Step 1

The three displacement vectors,

A=-2 i^-3 j^ mB=4 i^-5 j^ mC=-6 i^+5 j^ m

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