Lines 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.
- 2 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
Line through (1, 2, 3) and (4, 6, 8)Type the answer.
2 Question 2
Line through (1, 2, 3) parallel to <2, −1, 4>Type the answer.
3 Question 3
Line through (1, 1, 1) and (3, 2, 5)Type the answer.
4 Question 4
Line through (5, 1, 0) and (2, 3, 1)Type the answer.
5 Question 5
Line through (2, −1, 4) and (5, 1, 3)- A) x = 2 − 3t
- B) x = 3 + 2t
- C) x = 2 + 3t
6 Question 6
Line through (3, −2, 0) parallel to <−1, 4, 2>Type the answer.
7 Question 7
Line through (4, 2, −1) parallel to <0, 2, −3>- A) x = 4
- B) x = −4
- C) x = 4t
8 Question 8
Symmetric equations of the line through (1, −2, 3) and (3, 2, 4)Type the answer.
9 Question 9
Symmetric equations of the line through (0, 2, −1) parallel to <3, −1, 2>Type the answer.
10 Question 10
Symmetric equations of the line through (−2, 0, 1) parallel to <1, 2, −3>Type the answer.