smc-1196-20-Intersection

Vectors, EXT2 V1 2021 HSC 12c

Two lines are given by and , where and are real numbers. These lines intersect and are perpendicular.

Find the values of and . (3 marks)

--- 8 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

Vectors, EXT2 V1 2020 HSC 13b

Consider the two lines in three dimensions given by

$λ$ and $λ$ .

By equating components, find the point of intersection of the two lines. (3 marks)

--- 8 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

$λ λ λ λ$

$λ$	$λ$
$λ$	$λ$
$λ$	$λ$

	$λ$
$λ$

$λ$

$λ$
$λ$

$λ λ$

$λ λ$

Vectors, EXT2 V1 SM-Bank 15

Consider the two vector line equations

Show that and intersect and determine the point of intersection . (2 marks)

--- 6 WORK AREA LINES (style=lined) ---
What is the acute angle between the vector lines, to the nearest minute. (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

ii.

Vectors, EXT1 V1 SM-Bank 11 MC

Which pair of line segments intersect at exactly one point

A.

B.

C.

D.

Show Answers Only

Show Worked Solution

Vectors, EXT2 V1 SM-Bank 10

Determine the point of intersection of and given.

and

(2 marks)

--- 6 WORK AREA LINES (style=lined) ---

Determine if the point lies on . (1 mark)

--- 3 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

ii.


	$$