Vectors

Author:lwyso

Referred to a fixed origin

, the points

and

have position vectors

and

respectively. a) Find, in vector form, an equation of the line

, which passes through

and

. (3 marks) The line

has equation

, where

is a scalar parameter. b) Show that

lies on

. (2 marks) c) Find, in degrees, the acute angle between the lines

and

. (4 marks) The point

with position vector

lies on

. d) Find the shortest distance from

to the line

. (4 marks)

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