Planes in space Quiz
10 questions · easy to harder · Calculus 3 · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 5 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Plane through (1, 2, 3) with normal <2, −1, 4>- A) 0
- B) 12
- C) −12
2 Question 2
Plane through (1, 1, 1) with normal <3, 2, 1>Type the answer.
3 Question 3
Plane through (1, −2, 0) with normal <0, 3, 1>- A) −6
- B) 0
- C) 6
4 Question 4
Plane through (2, 3, 1) with normal <1, 1, 1>Type the answer.
5 Question 5
Plane through (4, 0, 0), (0, 2, 0) and (0, 0, 4)- A) 4
- B) 0
- C) 8
- D) 16
6 Question 6
Plane through (4, −1, 2) with normal <−3, 1, 5>Type the answer.
7 Question 7
Plane through (1, 0, 0), (0, 2, 0) and (0, 0, 3)- A) 6
- B) 2
- C) 0
- D) 3
8 Question 8
Plane through (1, 2, 3), (2, 3, 1) and (0, 1, 2)Type the answer.
9 Question 9
Plane through (0, 0, 0), (1, 2, 1) and (2, −1, 3)- A) −1
- B) 0
- C) 7
- D) −5
10 Question 10
Plane through (1, 0, 2), (3, 1, 0) and (0, 2, 1)Type the answer.