Vector and Cartesian equations of planes

Vector and Cartesian equations of planes Quiz

Spec F2 · AQA A-Level Further Maths: Quiz

Studying this course? Keep your progress in one place.

Pick an answer for each. Quizzes never use energy.

5 questions, one answer each

Each answer is checked as you go, with why.

See all 5 questions

1. A normal vector to the plane $2x-3y+4z=7$ is
- A. $(2,-3,4)$
- B. $(2,3,4)$
- C. $(7,-3,4)$
- D. $(-2,3,4)$
2. Cartesian equation of $\mathbf r\cdot(1,2,3)=5$ ?
- A. $x+2y+3z=0$
- B. $x+2y+3z=-5$
- C. $x+2y+3z=5$
- D. $5x+10y+15z=1$
3. The plane through $(1,1,1)$ with normal $(2,0,-1)$ is
- A. $2x-z=0$
- B. $2x-z=1$
- C. $2x+z=3$
- D. $x+y+z=1$
4. Which point lies on $x+y+z=6$ ?
- A. $(2,2,3)$
- B. $(0,0,5)$
- C. $(3,3,3)$
- D. $(1,2,3)$
5. Which plane is parallel to $3x-2y+z=12$ ?
- A. $3x+2y+z=12$
- B. $x-2y+3z=12$
- C. $6x-4y+2z=5$
- D. $3x-2y-z=12$