Wize University Physics Textbook (Master) > Force Vectors (Advanced Info)
Addition of Cartesian Vectors (3D)
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When working in 3D, the problem is simplified if we represent the vectors in Cartesian Vector Form (CVF)
Given point A (5, 8, 8)m. To check, always "walk" it!
a) Draw the vector OA.
b) Label Ax, Ay, Az.
c) Find the Magnitude of A.
a) and b)
c) magnitude for A (is the length from O to A):
A = sqrt(52 + 82 + 82) = 12.4 m
Magnitude: OA=12.4m
Practice: Magnitude of a 3D Vector
An aircraft's location is 200 miles S30oW from base, and it's altitude is 35,000 ft. Find the distance between the aircraft and the base.
Mark Yourself Question
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Find the distance between points A (1,1,1,) and B(4,6,9).