Edexcel A Level Further Maths Vectors Final Exam And Answers.

Straight line vector equation - Answer r = a + lambda b B is direction vector Lambda is a scalar Cartesian form of a vector - Answer x - a1 / b1 = y - a2 / b2 = z - a3 / b3 Equation of a plane - Answer r = a + lambda b + mu c A = position vector of a point in the plane B and c = non parallel non zero vectors in the plane Lambda and mu are scalars Cartesian equation of a plane - Answer ax + by + cz = d, (a) (b) is the normal vector (c) Scalar product - Answer the result of the scalar multiplication of two vectors is a scalar called a scalar product; also called a dot product Dot product is - Answer a.b = mod a x mod b x cos theta How to know if two vectors are perpendicular - Answer If they're dot product is zero If perp. The angle is 90 degrees anc cos 90 = 0 If vectors are parallel - Answer The angle is 0 so cos 0 = 1 So its just the mod of both of them multiplied