0

Guest

Courses New

Find the foot of the perpendicular drawn from the point A(1,0,3) to the join of the points B(4,7,1) and C(3,5,3)

Find the foot of the perpendicular drawn from the point A(1,0,3) to the join of the points B(4,7,1)
and C(3,5,3)

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
Hello student,
Please find the answer to your question below
Let ‘L’ be the fot of perpendicular AL,
which divides BC in the ratio a:1 = (3a+4)/(a+1),(5a+7)/(a+1),(3a+1)/(a+1)
Also D.R’s of the BC and AL are ,
D.R’s of BC= -1,-2,2
D.R’s of AL =((3a+4)/(a+1))-1,((5a+7)/(a+1))-0,((3a+1)/(a+1))-3
since AL is perpendicular to BC Cos90 = 0
→BC, AL are the lines with D.R’s as magnitudes 2(((3a+4)/(a+1))-1)-2(((5a+7)/(a+1))-0)+(((3a+1)/(a+1))-3)2=0
we get a=-7/4
So Foot of the perpendicular L=(5/3,7/3,17/3)

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More