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Let the coordinates of the points $\mathrm{A}, \mathrm{B}, \mathrm{C}$ be $(1,8,4)$, $(0,-11,4)$ and $(2,-3,1)$ respectively. What are the coordinates of the point $D$ which is the foot of the perpendicular from $\mathrm{A}$ on $\mathrm{BC}$ ?
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Verified Answer
The correct answer is:
$(4,5,-2)$
$\mathrm{A}(1,8,4), \mathrm{B}(0,-11,4), \mathrm{C}(2,-3,1)$
Let $\mathrm{D}=(\alpha, \beta, \gamma)$
Direction ratios of $\mathrm{BC}=\left(\mathrm{x}_{2}-\mathrm{x}_{1}, \mathrm{y}_{2}-\mathrm{y}_{1}, \mathrm{z}_{2}-\mathrm{z}_{1}\right)$
Let, $(\mathrm{a}, \mathrm{b}, \mathrm{c})=(2,8,-3)$
Direction 1 Let (a'. Since, $\mathrm{AD}$ is perpendicular to $\mathrm{BC}$,
e find option (c) is correct.
know, the equation of plane passing through 3
Let $\mathrm{D}=(\alpha, \beta, \gamma)$
Direction ratios of $\mathrm{BC}=\left(\mathrm{x}_{2}-\mathrm{x}_{1}, \mathrm{y}_{2}-\mathrm{y}_{1}, \mathrm{z}_{2}-\mathrm{z}_{1}\right)$
Let, $(\mathrm{a}, \mathrm{b}, \mathrm{c})=(2,8,-3)$
Direction 1 Let (a'. Since, $\mathrm{AD}$ is perpendicular to $\mathrm{BC}$,
e find option (c) is correct.
know, the equation of plane passing through 3
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