Assessment: Introduction to Vectors

Which of the following is a vector quantity?

What does the notation →PQ mean?

Vector a is 3 km east and vector b is 4 km north (perpendicular to a). Find the magnitude of a+b, in km.

Point P divides segment AB such that AP:PB = 3:2. If OP = (a·OA + b·OB)/5, find the value of a.

In triangle XYZ, M is the midpoint of XY and N is the midpoint of XZ. If YZ = 22, find the length of MN.

OA has magnitude 10, and OB = −OA (opposite direction, same magnitude). Find the magnitude of AB.

A plane has its own airspeed vector, and the wind has a separate velocity vector. How should a pilot find the plane's actual resultant velocity over the ground?

A game character moves each turn according to the vector (x, y) = (5, −3), where positive y means up. What does this movement look like?

Why must MN (joining the midpoints of two sides of a triangle) be parallel to the third side BC?

A vector v = (x, y) has x = 5 and magnitude |v| = 13. Find y, given y > 0.