Two forces F, and F2, where F1 = (-41+ ) N and F2 = (i+ 3j – 2k) N, act at the points with position vectors (ai – j+ 3k) m and (-21 + aj – k) m respectively Find (a) the equations of the line of action of F; and F in terms of a. (b) the value of the constant a giveri that the lines of action of F, and F2 intersect.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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6. Two forces F1 and F2, where
F1 = (-4i + J) N and F2 = (i+ 3j – 2k) N,
act at the points with position vectors (ai - j+ 3k) m and (-21 + aj – k) m respectively.
Find
(a) the equations of the line of action of F1 and F in terms of a.
(b) the value of the constant a giveri that the lines of action of F1 and F2 intersect.
Transcribed Image Text:6. Two forces F1 and F2, where F1 = (-4i + J) N and F2 = (i+ 3j – 2k) N, act at the points with position vectors (ai - j+ 3k) m and (-21 + aj – k) m respectively. Find (a) the equations of the line of action of F1 and F in terms of a. (b) the value of the constant a giveri that the lines of action of F1 and F2 intersect.
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