A rectangular cantilever beam AB has point A positioned at the origin of the coordinate system andpoint B at coordinates (1.2, -0.3, 2.4) m. The vector r₁ = (1î + 12ĵ + 1ê) m is oriented parallel to thethin cross-sectional dimension, and is perpendicular to to FAB (directed along the beam axis AB).ZPa Verify that r₁ is perpendicular to TAB2TABXb Determine the unit vector 2 that is perpendicular to both r₁ and rab and has the orientationshown in the figure.c Assuming that the force P applied to point B of the beam has 1000 N magnitude and directionangles x 144°, 0y = 72°, and 0₂ = 60°; Determine the components of the 1000 N force, namelyPAB, P₁, and P2, in the directions AB, 7₁, and 2, respectively.==

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A rectangular cantilever beam AB has point A positioned at the origin of the coordinate system and point B at coordinates (1.2, -0.3, 2.4) m. The vector ₁ = (1î + 123 + 1ê) m is oriented parallel to the thin cross-sectional dimension, and is perpendicular to to FAB (directed along the beam axis AB).

A rectangular cantilever beam AB has point A positioned at the origin of the coordinate system and point B at coordinates (1.2, -0.3, 2.4) m. The vector ₁ = (1î + 123 + 1ê) m is oriented parallel to the thin cross-sectional dimension, and is perpendicular to to FAB (directed along the beam axis AB).