JavaScript isn't enabled in your browser, so this file can't be opened. Enable and reload.
Vector Lines (2d and 3d)
Sign in to Google
to save your progress.
Learn more
1. a) Select the correct answer.
1 point
A
B
C
D
E
1. b) Select the correct answer.
1 point
A
B
C
D
E
Question 2
2. a) Find the DOT product of the vectors u and v.
1 point
Your answer
2. b) Hence find the ACUTE angle between the vectors u and v. Give your answer to the nearest degree.
1 point
Your answer
Question 3
3. a) Find the DOT product of the vector parts of a and b.
1 point
Your answer
3. b) Hence find the ACUTE angle between the lines a and b. Give your answer to the nearest degree.
1 point
Your answer
4. Two non-parallel straight lines in 2 dimensions,
1 point
Will never intersect
Will Always intersect at some point
May intersect at some point
Not able to tell without the correct information
Clear selection
5. Two non-parallel straight lines in 3 dimensions,
1 point
Will never intersect
Not able to tell without the correct information
Will Always intersect at some point
May intersect at some point
Clear selection
Question 6
6 a) The two lines intersect at point P. At the point of intersection, find the value of t.
1 point
Your answer
6 b) The two lines intersect at point P. At the point of intersection, find the value of u.
1 point
Your answer
6 c) Find the coordinates of P.
1 point
P (3,1,7)
P (3,1,-7)
P (6,1,-7)
P (6,1,7)
P (3,6,7)
Clear selection
6 d) Find the acute angle between the lines. Give your answer to the nearest degree.
2 points
Your answer
Question 7
7. a) Find the point of intersection between the lines.
2 points
P (2, -13, 4)
The lines are skew
P (-2, 13, -4)
P (2, 13, 4)
P (-2, 13, 4)
Clear selection
7. b) Find the acute angle between the lines. Give your answer to the nearest degree.
2 points
Your answer
Question 8
8. a) Find the point of intersection between the lines.
2 points
P (-4, -2, -3)
P (4, 2, 3)
P (-4, 2, -3)
P (4, 2, -3)
The lines are skew
Clear selection
8. b) Find the angle between the lines. Give your answer to the nearest degree.
2 points
Your answer
Question 9
9 a) Find the vector equation of the line from the choices shown below.
1 point
A
B
C
D
E
Clear selection
9 b) Tick the coordinates through which the line passes.
1 point
(10,-8)
(-2,-4)
(2,4)
(-5,8)
(8,-5)
(-10,8)
Question 10
10 a) Find the vector equation of the line from the choices shown below.
1 point
A
B
C
D
E
Clear selection
10 b) Tick the coordinates through which the line passes.
1 point
(10, -7, 11)
(-5, 4, 4)
(-10, 7, -17)
(15, 10, 18)
(20, -11, 25)
(6, -2, -10)
Submit
Clear form
Never submit passwords through Google Forms.
This form was created inside of Aiglon College.
Report Abuse
Forms
