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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
Given y = f(x) = x 2 + 2x +3 a) Use the definitional formula given below to find the derivative of the function. b) Find the value of the derivative at x = 3.
performs the mentioned operation and write the answers in standard form. ( -4 + 7 i ) + (5 -10 i ) Solution Actually there isn't much to do here other than add or subt
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A,B,C are natural numbers and are in arithmetic progressions and a+b+c=21.then find the possible values for a,b,c Solution) a+b+c=21 a+c=2b 3b=21 b=7 a can be 1,2,3,4,5,6 c c
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