Dot Product and Force Vectors | Mechanics Statics | (Learn to solve any question)

Learn to find angles between two sides, and to find projections of vectors, including parallel and perpendicular sides using the dot product. We solve a few examples step by step so you can grasp the material easily.

Intro (00:00)
Determine the angle θ between the sides of the triangular plate. (01:26)
Determine the magnitudes of the projected components of the force (02:26)
Determine the components of F that act along rod AC (03:45)

Book used: R. C. Hibbeler and K. B. Yap, Engineering Mechanics Statics.
Hoboken: Pearson, 2017.

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[darrylcarter]

In example 2, I heard you say the the negative sign means that the components points in the opposite direction of the unit vectors. The way I observed the picture, and based on the problem I solved, it seem like we can think of as the vector for Force AB pointing towards point B, and the vector for Force AC pointing towards point C.

[Hadron]

Hi sir I have a question, in your previous video called “force vectors along a line | learn to solve any question” at 5.47 you find the magnitude of the force from the Cartesian by doing the square root of the 12 squared, the 9 squared and the 8 squared to find the mag then times this by the unit vector to equal the force. And I don’t understand why we don’t use this same concept at 3.34 where u times the unit vector not by the magnitude but by the different components of force F to find the force along the cables.

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[uchiha_kakashi]

3:32 why we need to multiply F with uAB and uAC

[NK-iyif]

For the 3rd example why is B=-1.5i+2j+2k why is it not B =-1.5i +2j-2k

[roenroderio]

At problem no.2 won't the sum of forces from vector components of AB and AC be equal to F?

[nimcaandayib]

Point C:(3i+5j+(0k)?)m
Teacher z is not zero, it exista
How does the Z became 0k?

[Hussain-ez]

Why do you need to find the unit vector in example 2 but not in example 1?