Express the 960-lb force F as a vector in terms of the unit vectors i, j, and k. Determine the scalar projection of F onto the y-axis.у, in.В (70, 37, 48)А (-45, -31, 23)F = 960 lbx, in.z, in.Answers:F = ( ii+ij+ik) IbFy =Ib

Given data as per question F = 960lb Calculating position position vector from A to Bdirection is…

Answered: Express the 960-lb force F as a vector…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Express the 960-lb force F as a vector in terms of the unit vectors i, j, and k. Determine the scalar projection of F onto the y-axis.
у, in.
В (70, 37, 48)
А (-45, -31, 23)
F = 960 lb
x, in.
z, in.
Answers:
F = ( i
i+
i
j+
i
k) Ib
Fy =
Ib

Expert Solution

Step 1

Given data as per question

F = 960lb

$\begin{array}{l} Calculating position position vector from A to B \\ direction is given by the vecttor \\ r_{A B} = \vec{B} - \vec{A} \\ = (70 \hat{i}, 37 \hat{j}, 48 \hat{k}) - (- 45 \hat{i}, - 31 \hat{j}, 23 \hat{k}) \\ r_{A B} = (115 \hat{i}, 68 \hat{j}, 25 \hat{k}) \\ Finding unit vector u_{A B} \\ | r_{A B} | = \sqrt{115^{2} + 68^{2} + 25^{2}} \\ = \sqrt{18474} \end{array}$

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