Vectors: operations, dot product and angles

Question 1 of 10

(3, 5)·(1, 2) = ___

Question 2 of 10

Find k if the vectors (k, 12) and (3, −1) are perpendicular.

Question 3 of 10

The dot product of two vectors is a vector.

Question 4 of 10

Find the position vector of the point P that divides the line joining A(2, 1) and B(8, 7) in the ratio 1 : 2 (AP : PB = 1 : 2).

Question 5 of 10

Find a + 2b if a = (4, 3) and b = (2, 2).

Question 6 of 10

Find the angle between a = (−4, 2) and b = (−5, −1), to the nearest degree.

Question 7 of 10

A unit vector in the direction of a is

Question 8 of 10

(3, 1)·(1, 3) = ___

Question 9 of 10

Two non-zero vectors are perpendicular if a·b =

Question 10 of 10

The magnitude of the vector (3, 4) is