a force is given as F=x+5y-z. Calculate the magnitude of the force in the direction of the vector A=-3x+2y-2z|||Magnitude of force of F in direction of A is the dot product of F and the unit vector in the direction of A.
The unit vector of A is A divided by the magnitude of A.
Let || A || = magnitude of A.
|| A || = 鈭?3虏 + 2虏 + 2虏) = 鈭?7
Calculating the dot product.
F.A / || A || = %26lt;1,5,-1%26gt;.%26lt;-3,2,-2%26gt;/鈭?7 = (3 + 10 + 2)鈭?7 = 9/鈭?7
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