Planes in space Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-3/planes-in-space/quiz/

1. 1

   Plane through (1, 2, 3) with normal <2, −1, 4>
   1. A) 0
   2. B) 12
   3. C) −12

2. 2

   Plane through (1, 1, 1) with normal <3, 2, 1>

   Answer: ____________________

3. 3

   Plane through (1, −2, 0) with normal <0, 3, 1>
   1. A) −6
   2. B) 0
   3. C) 6

4. 4

   Plane through (2, 3, 1) with normal <1, 1, 1>

   Answer: ____________________

5. 5

   Plane through (4, 0, 0), (0, 2, 0) and (0, 0, 4)
   1. A) 4
   2. B) 0
   3. C) 8
   4. D) 16

6. 6

   Plane through (4, −1, 2) with normal <−3, 1, 5>

   Answer: ____________________

7. 7

   Plane through (1, 0, 0), (0, 2, 0) and (0, 0, 3)
   1. A) 6
   2. B) 2
   3. C) 0
   4. D) 3

8. 8

   Plane through (1, 2, 3), (2, 3, 1) and (0, 1, 2)

   Answer: ____________________

9. 9

   Plane through (0, 0, 0), (1, 2, 1) and (2, −1, 3)
   1. A) −1
   2. B) 0
   3. C) 7
   4. D) −5

10. 10

    Plane through (1, 0, 2), (3, 1, 0) and (0, 2, 1)

    Answer: ____________________