Help Contact For teachers and institutes

Mock Tests Classes

StemPy Lab

Learn. Solve. Code the solutions. Test yourself.

Live examsFree mock exams, timed and rankedEveryone starts together, and your score and rank come the moment it ends.See the exams →

Learn

Physics
Chemistry
Mathematics
Biology
Python Programming
Statistics & Data Science
Classes
Groups

Practice

Problems
Quizzes
Mock Tests
Prepare for an Exam
Question Sets
Exams
Certificates
Python Labs
AI Practice Generator
Student-Created Tests

Community

Discussions
Resources
Notes
Blog

Account

Log in

© 2026 senLearn. All rights reserved.Help About Contact Privacy Policy Terms of Use Refund Policy

A lamp is at the point (1, -2, 3) and a ceiling lies in… | StemPy Lab

Quizzes
A lamp is at the point (1, -2, 3) and a ceiling lies in the plane 6x - 3y + 2z = 4, with lengths in metres. What is the shortest distance from the lamp to the ceiling?

MathematicsMediumHigh School (11–12)Vectors and Three-Dimensional Geometry › Three-Dimensional Geometry A-Level IB AEEE (Amrita)AMUEEE AP EAPCET BCECE

+16 more exams

COMEDK UGET CUET UG GUJCET JCECE JKCET KCET KEAM KIITEE LPUNEST MET (Manipal)MHT-CET OJEE SRMJEEE TS EAPCET UPESEAT

Created by StemPy Lab

A lamp is at the point $(1, -2, 3)$ and a ceiling lies in the plane $6x - 3y + 2z = 4$ , with lengths in metres. What is the shortest distance from the lamp to the ceiling?

← All Quizzes

← A ladder leans against the ground, the plane z = 0. The direction of the ladder has ratios (2, 3, 6). Which expression gives the angle φ between the ladder and the ground?Two parallel glass sheets lie in the planes 2x - y + 2z = 1 and 4x - 2y + 4z = -10, with lengths in metres. What is the distance between the sheets? →

More onVectors and Three-Dimensional Geometry › Three-Dimensional Geometry

Discussion (0)

Log in to join the discussion.

Loading…

More questions on this topic

The figure shows the part of a plane in the first octant. It meets the axes at A(6, 0, 0), B(0, 3…Hard
Two sloping steel plates in a bridge frame lie in the planes x + 2y - z = 1 and 2x - y + z = 3.…Hard
Two parallel glass sheets lie in the planes 2x - y + 2z = 1 and 4x - 2y + 4z = -10, with lengths…Hard
A ladder leans against the ground, the plane z = 0. The direction of the ladder has ratios (2, 3…Medium
Two sloping roofs of a hut lie in the planes x - 2y + 2z = 3 and 2x + 2y - z = 4. Which expression…Medium

All questions on this topic →

Problems on this topic

A slab is cut along the plane 2x - y + 2z = 3, with coordinates in metres…Hard
Two walls of a tunnel lie in the planes 2x + y - z = 3 and x + 3y + 2z = 9, with coordinates in…Medium
Two flat plates are parallel, and they lie in the planes 2x - 2y + z = 8 and 2x - 2y + z = -4, with…Medium
A ceiling in a hall is tilted and lies in the plane 4x - 4y + 7z = 7, with coordinates in metres…Easy

All problems on this topic →