Dot product and angle in space Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-3/dot-product-and-angle-in-space/quiz/

1. 1

   Calculate <1, 2, 3> • <4, −5, 6>

   Answer: ____________________

2. 2

   Calculate <1, 1, 1> • <2, 3, 4>

   Answer: ____________________

3. 3

   Dot product of <2, 3, −1> and <1, −1, 1>

   Answer: ____________________

4. 4

   Calculate <−2, 5, 3> • <4, 1, −2>

   Answer: ____________________

5. 5

   Dot product of <4, −2, 1> and <−1, 3, 5>

   Answer: ____________________

6. 6

   Angle between <1, 0, 0> and <1, 1, 0>

   Answer: ____________________

7. 7

   Angle between <2, 2, 1> and <1, 2, 2>
   1. A) 27.3°
   2. B) 8°
   3. C) 273°
   4. D) 3°

8. 8

   Angle between <3, 4, 0> and <0, 3, 4>

   Answer: ____________________

9. 9

   Angle between <2, −1, 2> and <−2, 2, 1>
   1. A) 3°
   2. B) −116.4°
   3. C) −4°
   4. D) 116.4°

10. 10

    Angle between <1, 1, 1> and <1, −1, 2>

    Answer: ____________________