Vectors in two dimensions

Question 1 of 10

Multiplying a vector by −1 doubles its length.

Question 2 of 10

If a = (5, 2), then 3a =

Question 3 of 10

The magnitude of the vector (6, 8) is ___.

Question 4 of 10

P(−3, −1), Q(−2, 1) and R(4, 4) are three vertices of a parallelogram PQRS. Find (a) the vector PQ, (b) the coordinates of S, (c) |PQ| correct to 2 decimal places.

Question 5 of 10

a + b = b + a for vectors.

Question 6 of 10

If A = (5, −5) and B = (−5, 1), find the vector AB.

Question 7 of 10

P(3, 1), Q(2, 2) and R(−4, −3) are three vertices of a parallelogram PQRS. Find (a) the vector PQ, (b) the coordinates of S, (c) |PQ| correct to 2 decimal places.

Question 8 of 10

If a = (2, 3) and b = (4, −1), then a + b =

Question 9 of 10

P(1, −2), Q(−3, 2) and R(−3, −2) are three vertices of a parallelogram PQRS. Find (a) the vector PQ, (b) the coordinates of S, (c) |PQ| correct to 2 decimal places.

Question 10 of 10

The position vector of the point (−2, 5) is