If O = (0,0,0),OP = 5 and the d.rs of OP are 1,2,2 then Px + Py + Pz =

Engineering

Mathematics

Direction Cosines and Direction Ratio

Distance from a Plane

Question

If O = (0,0,0),OP = 5 and the d.rs of OP are 1,2,2 then P_x+ P_y+ P_z=

$\frac{25}{9}$

$\frac{25}{3}$

$(\frac{5}{3}, \frac{10}{3}, \frac{10}{3})$

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Given : O = (0,0,0)

OP = 5 and

d.rs of OP = 1, 2, 2

To find : P_x + P_y + P_z

P (br, mr , nr)

= (5 × 1, 5 × 2, 5 × 2)

= (5, 10, 10)

∴ P_x + P_y + P_z

5 + 10 + 10 = 25

∴ P_x + P_y + P_z = 25