Coordinate geometry and vectors

What is the distance between the points (1, 2) and (4, 6)?

• 1 3
• 2 4
• 3 5
• 4 7

What is the slope of the line through (1, 2) and (3, 8)?

• 1 2
• 2 3
• 3 4
• 4 6

Which is the equation of a circle with centre at the origin and radius 5?

• 1 x + y = 25
• 2 x^2 + y^2 = 5
• 3 x^2 + y^2 = 25
• 4 x^2 - y^2 = 25

What is the midpoint of the points (2, 4) and (6, 10)?

• 1 (8, 14)
• 2 (4, 6)
• 3 (4, 7)
• 4 (3, 5)

What is the dot product of the vectors (1, 2, 3) and (4, -5, 6)?

• 1 12
• 2 32
• 3 -12
• 4 0

What is the magnitude of the vector (3, 4)?

• 1 7
• 2 5
• 3 25
• 4 1

What is i x j, the cross product of the unit vectors i and j?

• 1 0
• 2 -k
• 3 1
• 4 k

What is the focus of the parabola y^2 = 8x?

• 1 (2, 0)
• 2 (4, 0)
• 3 (8, 0)
• 4 (0, 2)

Two vectors are perpendicular when their dot product is:

• 1 1
• 2 -1
• 3 Equal to their magnitudes
• 4 0