Question 14 Find the coordinates of the point where the line (𝑥 + 3)/3 = (𝑦 − 1)/(−1) = (𝑧 − 5)/(−5) cuts the XY Plane.
If line (𝑥 + 3)/3 = (𝑦 − 1)/(−1) = (𝑧 − 5)/(−5) cuts the XY Plane
Then z = 0
So, let coordinates of point be (x, y, 0)
Now,
(𝑥 + 3)/3 = (𝑦 − 1)/(−1) = (𝑧 − 5)/(−5) = k
Thus,
x = 3k − 3, y = −k + 1, z = −5k + 5
Since z = 0
−5k + 5 = 0
5k = 5
k = 5/5
k = 1
Now,
x = 3k − 3 = 3(1) − 3 = 0
y = −k + 1 = −1 + 1 = 0
Thus, Coordinates of Point are (0, 0, 0)

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Hi, it looks like you're using AdBlock :(

Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.

Please login to view more pages. It's free :)

Teachoo gives you a better experience when you're logged in. Please login :)

Solve all your doubts with Teachoo Black!

Teachoo answers all your questions if you are a Black user!