lesson
Using Perpendicularity in Vector Geometry Problems
Apply the scalar product to solve geometric problems involving perpendicular lines and vectors.
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Further Vectors: Perpendicularity and Intersections
11 lessons
Goal
Use the scalar product to test for perpendicular vectors and calculate intersections and distances between lines, points and planes in 3D.
11 lessons
0 of 11 done
- Testing Vectors for Perpendicularity Using the Scalar ProductUp next
- Finding Perpendicular Direction Vectors of LinesNot started yet
- Using Perpendicularity in Vector Geometry ProblemsYou are here
- Perpendicular Vectors: Fluency PracticeNot started yet
- Finding the Intersection of a Line and a PlaneNot started yet
- Checking Whether a Line is Parallel to or Lies in a PlaneNot started yet
- Perpendicular Distance from a Point to a PlaneNot started yet
- Perpendicular Distance from a Point to a Line in 3DNot started yet
- Perpendicular Distance Between Two Skew LinesNot started yet
- Perpendicular Distance Between Two Parallel LinesNot started yet
- Mixed Problems: Distances and Intersections in 3DNot started yet
Learning standards covered
FM-F3General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th GradeCalculate the scalar product and use it to express the equation of a plane, and to calculate the angle between two lines, the angle between two planes and the angle between a line and a plane
FM-F4General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th GradeCheck whether vectors are perpendicular by using the scalar product