February/March 2026 Paper 32

2026 · 11 questions · 21 parts · 75 marks

0/75 marks

0Correct0Partial0Wrong21Unattempted

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Context for question 11

The points

A

and

B

have position vectors

O A = 2 i + 2 j - k

and

O B = 4 i + 2 j + 4 k

relative to the origin,

O

.

11(a)Three Dimensional VectorsHard5 marks

Show that the perpendicular distance from

A

to the line through

O

and

B

is

\frac{1}{3} 65

.

Answer

0 words

11(b)Three Dimensional VectorsHard7 marks

The point

C

has position vector

O C = 3 i + p j + q k

, where

p

and

q

are constants.

Given that

$O C$ is perpendicular to $A B$ and
angle $A O C$ = angle $C O B$ ,

find the values of

p

and

q

.

Working

0 words

p

q