Teacher Delivery Guide Pure Mathematics: Vectors Ref. Learning outcomes Notes Notation Exclusions Specification PURE MATHEMATICS: VECTORS (1) Understand the language of vectors in two dimensions. Scalar, vector, modulus, magnitude, Vectors printed in General Mv1 bold. direction, position vector, unit vector, vectors Unit vectors cartesian components, equal vectors, i, j, parallel vectors, collinear. The magnitude of the a |a| vector is written or a Be able to add and subtract vectors using a diagram or Geometrical interpretation. Includes v2 algebraically, multiply a vector by a scalar, and express general vectors not expressed in a vector as a combination of others. component form. Be able to calculate the magnitude and direction of a Magnitude-direction v3 vector and convert between component form and magnitude-direction form. b. Understand and use position vectors. Including interpreting components of a or Position v4 position vector as the cartesian vectors coordinates of the point. Be able to calculate the distance between two points v5 represented by position vectors. Be able to use vectors to solve problems in pure Includes interpreting the sum of vectors Using vectors v6 mathematics and in context, including problems representing forces as the resultant involving forces. force. PURE MATHEMATICS: VECTORS (2)
Teacher Delivery Guide Pure Mathematics: Vectors Specification Ref. Learning outcomes Notes Notation Exclusions PURE MATHEMATICS: VECTORS (1) General vectors Mv1 Understand the language of vectors in two dimensions. Scalar, vector, modulus, magnitude, direction, position vector, unit vector, cartesian components, equal vectors, parallel vectors, collinear. Vectors printed in bold. Unit vectors i, j, The magnitude of the vector a is written |a| or a v2 Be able to add and subtract vectors using a diagram or algebraically, multiply a vector by a scalar, and express a vector as a combination of others. Geometrical interpretation. Includes general vectors not expressed in component form. v3 Be able to calculate the magnitude and direction of a vector and convert between component form and magnitude-direction form. Magnitude-direction Position vectors v4 Understand and use position vectors. Including interpreting components of a position vector as the cartesian coordinates of the point. or b. v5 Be able to calculate the distance between two points represented by position vectors. Using vectors v6 Be able to use vectors to solve problems in pure mathematics and in context, including problems involving forces. Includes interpreting the sum of vectors representing forces as the resultant force. PURE MATHEMATICS: VECTORS (2)
412396-pure-mathematics-vectors-delivery-guide.docx