Learning Lab

Use these measurement worksheets to improve your skills in these areas.

• V1 Introduction to vectors

  Introduces vectors, vector components, unit vectors, vector magnitude and how to add and subtract vectors.

• V2 Resolution of vectors

  Learn how to break vectors up into two components. Very important for resolving forces in physics.

• V3 Scalar product (PDF)

• V4 Vector product (PDF)

• V5 Projection of vectors

  Learn how to find the scalar or vector projection of a vector in the direction of a second vector.

• V6 Vector equation of a line

  Learn how to find the vector equation, the parametric equation, and the symmetric equation of a line in three dimensional space.

• V7 Intersecting lines in 3D

  Learn how to determine if two lines in three dimensions intersect and, if so, their point of intersection.

• V8 Equation of a plane

  Learn how to find the equation of a plane: a) through three points or b) given a normal and a point on the plane or c) given a parallel plane and a point on the plane.

• V9 Intersecting planes

  Learn how to determine the angle between two intersecting planes and the equation of the line of intersection.

• V10 Distance from a point to a plane

  Learn how to find the perpendicular distance from a point to a plane.

• V11 Directional derivatives

  Learn how to find the directional derivative of a function of two variables f(x,y) or three variables g(x,y,z) at a point and in a given direction.