Vectors

3.7

What the syllabus asks of you

use standard notations for vectors, i.e. column vectors in x, y and in x, y, z, xi + yj, xi + yj + zk, the vector AB, and a
carry out addition and subtraction of vectors and multiplication of a vector by a scalar, and interpret these operations in geometrical terms
calculate the magnitude of a vector, and use unit vectors, displacement vectors and position vectors
understand the significance of all the symbols used when the equation of a straight line is expressed in the form r = a + tb, and find the equation of a line, given sufficient information
determine whether two lines are parallel, intersect or are skew, and find the point of intersection of two lines when it exists
use formulae to calculate the scalar product of two vectors, and use scalar products in problems involving lines and points.

Read the notes first

Chapter 15: Vectors

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Drill this topic

All 102 questions on Vectors, untimed — answer on paper, then mark yourself against the mark scheme.

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Make a worksheet

Choose the years and how many questions, then print it with the answers on separate pages.

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102 questions

These are structured questions, answered in working rather than by picking an option, so they are not listed here one by one. The drill above puts each in front of you with its mark scheme to check against.