Two vectors a and b have the components, in meters, ax = +3.2, ay = +1.6, bx = +0.5, by = +4.5. Answer the following: (a) What is the magnitude of the sum of a and b ? (b) Find the angle between the directions of a and b. (c) Imagine now another vector c in the plane where vectors a and b are already present. Vector c has a magnitude of 5 m and is perpendicular to a and pointing northwest. What are the x and y components of c.
Two vectors a and b have the components, in meters, ax = +3.2, ay = +1.6, bx = +0.5, by = +4.5. Answer the following: (a) What is the magnitude of the sum of a and b ? (b) Find the angle between the directions of a and b. (c) Imagine now another vector c in the plane where vectors a and b are already present. Vector c has a magnitude of 5 m and is perpendicular to a and pointing northwest. What are the x and y components of c.
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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Two vectors a and b have the components, in meters, ax = +3.2, ay = +1.6, bx = +0.5, by = +4.5. Answer the following:
(a) What is the magnitude of the sum of a and b ?
(b) Find the angle between the directions of a and b.
(c) Imagine now another vector c in the plane where vectors a and b are already present. Vector c has a magnitude of 5 m and is perpendicular to a and pointing northwest. What are the x and y components of c.
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