Dot product, angle between two vectors Quiz
10 questions · easy to harder · Precalculus · 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
Calculate <3, 4> • <2, 1>Type the answer.
2 Question 2
Calculate <2, 0> • <4, 3>Type the answer.
3 Question 3
Dot product of <2, 3> and <−3, 2>Type the answer.
4 Question 4
Calculate <−2, 3> • <4, 1>Type the answer.
5 Question 5
Dot product of <6, 2> and <−1, 3>Type the answer.
6 Question 6
Angle between <3, 4> and <4, 3>Type the answer.
7 Question 7
Angle between <4, 3> and <0, 5>- A) 5°
- B) 53.1°
- C) 15°
- D) 0.6°
8 Question 8
Angle between <2, 1> and <−1, 3>Type the answer.
9 Question 9
Angle between <3, 4> and <−6, −8>- A) −1°
- B) 180°
- C) 25°
- D) −50°
10 Question 10
Angle between <6, 8> and <3, 4>Type the answer.