Distance of the point - - Y from Y-axis isa -b - c - Y -d -2- y 2

(d) Required distance= √(α^2 0^2)+√(β^2 β^2)+√(γ^2 0^2)=√(α^2+γ^2) ...

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Perpendicular Distance of a Point from a Plane

Distance of t...

Question

Distance of the point ( $α, β, γ)$ from Y-axis is

(a) $β$ (b)| $β$ |

(c)| $β$ |+| $γ$ | (d) $\sqrt{α^{2} + γ^{2}}$

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Solution

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(α, β, γ)

(a) β

(b) |β|

(c) |β| + |γ|

(d) \sqrt{α^{2} + γ^{2}}

\vec{a}, \vec{b}, \vec{c}, is \vec{r} = α \vec{a} + β \vec{b} + γ \vec{c},

α, β, γ

α = 2 t a n^{- 1} (\sqrt{2} - 1), β = 3 s i n^{- 1} \frac{1}{\sqrt{2}} + s i n^{- 1} (\frac{- 1}{2}) a n d γ = c o s^{- 1} (\frac{1}{3}),

α, β, γ

\frac{α}{a} + \frac{β}{b} + \frac{γ}{c} = 1 + i

\frac{a}{α} + \frac{b}{β} + \frac{c}{γ} = 0

\frac{α^{2}}{a^{2}} + \frac{β^{2}}{b^{2}} + \frac{γ^{2}}{c^{2}}

\frac{x}{α} + \frac{y}{β} = 1

α + β + \sqrt{α^{2} + β^{2}} = c

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