FP3.5 - Vectors

The vector product a × b and the The interpretation of | a × b | as an area and a. b × c as a triple scalar product a. b × c. volume.

Use fp3.5.1 - vector product and scalar triple product to connect the rule to the data and decision in the question.

This matters because fp3.5.1 - vector product and scalar triple product determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply fp3.5.1 - vector product and scalar triple product to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: FP3.5.1 - Vector product and scalar triple product is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.

Use of vectors in problems Students may be required to use equivalent cartesian forms involving points, lines and planes. also.; The equation of a line in the form Applications to include (r − a) × b = 0. (i) distance from a point to a plane, (ii) line of intersection of two planes, (iii) shortest distance between two skew lines.

Use fp3.5.2 - use of vectors in problems to connect the rule to the data and decision in the question.

This matters because fp3.5.2 - use of vectors in problems determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply fp3.5.2 - use of vectors in problems to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: FP3.5.2 - Use of vectors in problems is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.

The equation of a plane in the Students may be required to use equivalent cartesian forms forms also. r.n = p, r = a + sb + tc.

Use fp3.5.3 - equation of a plane to connect the rule to the data and decision in the question.

This matters because fp3.5.3 - equation of a plane determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply fp3.5.3 - equation of a plane to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: use the formula and units given in the question, show the substitution and interpret the result; the calculation alone is not the conclusion.