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Determine or find out the direction cosines and direction angles for a = (2, 1, -4)
Solution
We will require the magnitude of the vector.
||a|| = √ (4+1+16) = √ (21)
After that the direction cosines and angles are,
cos α = 2/√21 α = 1.119 radians = 64.123 degrees
cos β = 1/√21 β = 1.351 radians = 77.396 degrees
cos γ = -4/√21 γ = 2.632 radians = 150.794 degrees
An elevated cylindrical shaped water tower is in require of paint. If the radius of the tower is 10 ft and the tower is 40 ft tall, what is the net area to be painted? (π = 3.14)
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