1. Consider two displacement vectors Ā = (-2î + 4f) m and B = (î – 3f) m, find the magnitude and direction of (a) Ĉ = Ã +B and (b) D = -Ā - B. 2. Find the angle between each of these pairs of vectors: a. Ā = -2.00î + 6.00ĵ b. A = 3.00î + 5.00f c. A = -4.00î + 2.00f B = 2.00î – 3.00j B = 10.00î + 6.00f B = 7.00î + 14.00j and and and

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
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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Solve the following problems. Use a separate sheet of paper for your calculations. Please in very detailed solution and clear handwriting.

1. Consider two displacement vectors Ā = (-2î + 4j) m and B = (1 – 3) m, find
the magnitude and direction of (a) Č = Ã + B and (b) Ď = -Ã - B.
2. Find the angle between each of these pairs of vectors:
a. Ā = -2.00î + 6.00ĵ
b. A = 3.00î + 5.00f
c. A = -4.00î + 2.00f
B = 2.00î – 3.00f
B = 10.00î + 6.00f
B = 7.00î + 14.00j
and
and
and
%3D
Transcribed Image Text:1. Consider two displacement vectors Ā = (-2î + 4j) m and B = (1 – 3) m, find the magnitude and direction of (a) Č = Ã + B and (b) Ď = -Ã - B. 2. Find the angle between each of these pairs of vectors: a. Ā = -2.00î + 6.00ĵ b. A = 3.00î + 5.00f c. A = -4.00î + 2.00f B = 2.00î – 3.00f B = 10.00î + 6.00f B = 7.00î + 14.00j and and and %3D
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