Cross product and area Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-3/cross-product-and-area/quiz/

1. 1

   Calculate <1, 2, 3> × <4, 5, 6>
   1. A) (3, −6, 3)
   2. B) (−3, 6, −3)
   3. C) (−3, −6, −3)
   4. D) (3, 6, −3)

2. 2

   Calculate <2, 1, 0> × <0, 3, 1>

   Answer: ____________________

3. 3

   Calculate <2, 3, 1> × <1, 1, 2>
   1. A) (5, −3, −1)
   2. B) (5, 3, −1)
   3. C) (−5, −3, −1)
   4. D) (−5, 3, 1)

4. 4

   Calculate <−1, 2, 4> × <3, 0, −2>

   Answer: ____________________

5. 5

   Cross product of <0, 2, −1> and <3, 1, 2>
   1. A) (−5, 3, 6)
   2. B) (5, 3, −6)
   3. C) (−5, −3, −6)
   4. D) (5, −3, −6)

6. 6

   Find the area of the parallelogram with sides <1, 2, 2> and <2, 1, −2>.

   Answer: ____________________

7. 7

   Find the area of the parallelogram with sides <2, 0, 0> and <0, 3, 4>.
   1. A) 0
   2. B) 6
   3. C) 10

8. 8

   Find the area of the triangle with corners (1, 0, 0), (0, 2, 0), (0, 0, 3).

   Answer: ____________________

9. 9

   Find the area of the triangle with corners (1, 1, 1), (2, 3, 1), (1, 2, 3).
   1. A) A ≈ 2.3
   2. B) A ≈ 23
   3. C) A ≈ 1
   4. D) A ≈ 4

10. 10

    Calculate <1, 2, −3> × <2, 4, 1>

    Answer: ____________________