Exploring Two-Dimensional Vectors

What is the result of adding the vectors (3, 4) and (1, 2)?

• (4, 6)

• (3, 5)

• (5, 6)

• (2, 3)

If vector A = (5, -3) and vector B = (2, 1), what is A - B?

• (5, -4)

• (3, 4)

• (3, -4)

• (7, -2)

Calculate the magnitude of the vector (6, 8).

• 12

• 14

• 10

• 8

If you multiply the vector (2, 5) by the scalar 3, what is the resulting vector?

• (5, 12)

• (0, 0)

• (6, 15)

• (2, 5)

Graph the vector (3, 2) on a coordinate plane.

• The point (3, 2) is graphed at 3 units right and 2 units up from the origin.

• The point (3, 2) is graphed at 3 units up and 2 units right from the origin.

• The point (3, 2) is graphed at 2 units right and 3 units up from the origin.

• The point (3, 2) is graphed at 3 units left and 2 units down from the origin.

What is the sum of the vectors (1, 2) and (-1, -2)?

• (0, 2)

• (1, 2)

• (0, 0)

• (-2, -4)

Find the magnitude of the vector (-4, 3).

• 4

• 6

• 7

• 5

Determine the direction of the vector (0, -5).

• up

• left

• right

• down

If vector C = (7, 1) and you subtract (3, 4) from it, what is the resulting vector?

• (4, 7)

• (4, -3)

• (0, -3)

• (10, 5)

What is the scalar multiplication of the vector (2, -1) by -2?

• (-6, 3)

• (0, 2)

• (-2, 1)

• (-4, 2)