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If `vecP = 3hati+ 4hatj + 12hatk` then find magnitude and the direction cosines of `vecP`. |
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Answer» Magnitude of `vecP: |vecP|= sqrt(P_(x)^(2) + P_(y)^(2) + P _(z)^(2)) = sqrt(3^(2) + 4^(2) + 12^(2))= sqrt(169) = 13` Direction cosines : `cosalpha = (P_(x))/(P)= (3)/(13), cos beta = (P_(y))/(P) = (4)/(13), cos gamma = (P_(x))/(P) = (12)/(13) ` |
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