Magnitude of a vector — Paper 2 — IGCSE Mathematics - International 0607 topical questions

Question 1

p = KK OO 3 L P Find p , giving your answer in the form 3 a . ..................................................... [2]

Accepted Answer

10 3 5 2 M1 for 6 2 + 32 or better or M1 for a = 5

Question 2

Q is the point (3, 7) and PQ = . 3 (a) Find the co-ordinates of P. ( ........................ , ........................ ) [2] (b) Find PQ …

Accepted Answer

7(a) (9, 4) 2 B1 for each co-ordinate 7(b) 3 5 3 M1 for ([–]6)2 + 32 A1 for 45

Question 3

p = 5 (a) Find the column vector 3p. [1] f p (b) Find p , giving your answer in surd form. ................................................…

Accepted Answer

4(a)  −9  1    15  4(b) 2 M1 for (–3)2 + 52 oe 34

Question 4

a = b = 8 - 8 (a) Find a - 3b . [2] f p (b) Work out a . .................................................... [2]

Accepted Answer

10(a)  0  2 0  k    B1 for  or    32  k  32  10(b) 10 2 M1 for 6 2 + 8 2 soi by 100

Question 5

p = - 5 Find (a) 2p, [1] f p (b) p . ................................................... [2]

Accepted Answer

9(a)  24  1    −10  9(b) 13 2 M1 for 12 2 + ( −5) 2 oe

Question 6

a = b = - 3 - 1 (a) Find a - 3 b . [2] f p - 4 (b) Find the magnitude of e- 3o. ................................................. [2]

Accepted Answer

8(a)  −10  2 B1 for each    0  8(b) 5 2 M1 for ( − 4) 2 + ( − 3) 2 SOI by 25 If 0 scored, SC1 for –5

Question 7

Find the magnitude of the vector . 6 Give your answer in simplest surd form. ................................................. [2]

Accepted Answer

10 2 10 2 M1 for 6 2  2 2 or 40

Question 8

a = b = - 10 2 Find the magnitude of the vector a - b. Give your answer in its simplest surd form. ........................................…

Accepted Answer

12 4 13 4 B3 for 208 OR  8  B1 for   oe   12  M1 for (their 8)2 + (their(–12))2

Question 9

Find the magnitude of the vector . 8 ................................................. [2]

Accepted Answer

13 10 2 M1 for ( −6) 2 + 8 2 or better

Question 10

Find the magnitude of . - 3 Give your answer in its simplest surd form. ................................................. [2]

Accepted Answer

7 3 10 cao 2 M1 for 9 2    3  2

Question	Answer	Marks	From
1	see sheet	2	0607/21 May/June 2017
2	see sheet	5	0607/23 May/June 2018
3	see sheet	3	0607/22 Oct/Nov 2018
4	see sheet	4	0607/23 May/June 2019
5	see sheet	3	0607/21 Oct/Nov 2019
6	see sheet	4	0607/21 Oct/Nov 2020
7	see sheet	2	0607/21 May/June 2022
8	see sheet	4	0607/23 May/June 2022
9	see sheet	2	0607/22 Oct/Nov 2023
10	see sheet	2	0607/21 May/June 2024

Magnitude of a vector — Paper 2 · IGCSE Mathematics - International 0607