Using the diagram and your knowledge of vectors, show that BCD is a straight line

BC = BA - CA = (3a - b) - (a + 4b) = 2a - 5b BD = BA + AB = (3a - b) + (a - 9b) = 4a - 10b BC = 1/2 BD. Using basic vector rules, we know that if vectors are multiples, then they are parallel. Since BC and BD start at the same point, we can deduce that they are on a straight line. Points lying on a straight line are known as collinear and BC and BD are scalar multiples of each other.

JA

Related Maths GCSE answers

All answers ▸

Jack has 20 sweets. Will also has 20 sweets. Jack gives Will x sweets. Jack then eats 5 of his sweets. Will then eats half of his sweets. Write expressions for the number of sweets Jack and Will now have.


Rearrange the equation y = 3(x+1)/4, making x the subject.


Factorise x^(2)​​​​ - 49


A quadratic curve intersects the axes at (–3, 0), (3, 0) and (0, 18). Work out the equation of the curve