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If vecP=3hati+4hatj+12hatk then find mag...

If `vecP=3hati+4hatj+12hatk` then find magnitude and the direction cosines of the `vecP`.

Text Solution

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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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