Engineering Mechanics - Force Vectors - Discussion

Discussion Forum : Force Vectors - General Questions (Q.No. 3)
3.

Express force F as a Cartesian vector; then determine its direction angles.

F = (-2i +j+2k) kN, = 48.2°, = 70.5°, = 48.2°
F = (-2i +j+2k) kN, = 131.8°, = 70.5°, = 48.2°
F = (-4i +j+4k) kN, = 48.2°, = 70.5°, = 48.2°
F = (-4i +2j+4k) kN, = 131.8°, = 70.5°, = 48.2°
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
7 comments Page 1 of 1.

Hazim Khaleel said:   6 years ago
The right answer is D.

D Sanjog Roshan said:   8 years ago
A(4,1,-2) and B(0,3,2).

Position vector, Rab=-4i+2j+4k
Unit vector of Rab=-4/6i+2/6j+4/6k
F=3(Rab)= option B.
α=cos-1(-2/3)=131.8.
β=cos-1(1/3)=70.5.
γ=cos-1(2/3)=48.1.

.shinde mahesh said:   1 decade ago
I thing its very lengthy process. Any one can give shortcuts for this problem?

Wahid said:   1 decade ago
A(4;1;-2) & B(0;3;2) then vect(AB) = 2(-2i+j+2k)and,

180-cos(a) = 2/AB then a = 131.8.

cos(b) = 1/AB then b = 70.5.

cos(c) = 2/AB then c = 48.2.

Avinash said:   1 decade ago
Write the position vectors B and A. Then do A-B. Result is the vector direction.

Benjamin said:   1 decade ago
I am relearning a lot of maths and if there is anyone about that can write an method I would be very greatful, forgotten how this format works entirely.

Ramesh said:   1 decade ago
I want the explaination. I can't understand.

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