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.

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