Addition of vectors

When adding two vectors graphically, a+b=c. Does b+a produce the same resultant vector?

• No, because order matters.

• No, because you can't add two vectors.

• Yes, two vectors added together always produce the same resultant vector.

• Yes, but c will be pointing in the opposite direction.

When subtracting two vectors, a-b=c. Does b-a produce the same resultant vector c?

• Yes, but c will be pointing in the opposite direction.

• Yes, two vectors subtracted together always produce the same resultant vector.

• No, because you can't subtract two vectors.

• No, because order matters.

Given three vectors a, b and c as shown in the diagram. With the polygon rule, the most appropriate diagram for

d = a - b + c

is

• 
• 
• 
• 

If vector a= (4, -5) and vector b= (-7, 4) Find a + b

• (11, 1)

• (-3, -9)

• (3, 9)

• (-3, -1)

If vector a = (3, -5) and b = (-2, 3). Find a + b

• (6, -10)

• (0, -1)

• (1, -2)

• none of these

Find the vector a such that a + (-6, 4) = (10, -3)

• (16, 4)

• (4, 1)

• (16, -7)

• none of these

If a = (-2, 0) and b = (-4, -8). Find a - b.

• (-6, 8)

• (2, 8)

• (-6, -8)

• (2, -8)

Find the vector a such that (5, 8) - a = (-2, 10).

• (7, 2)

• (7, -2)

• (-7, 2)

• (-7, -2)

What is the resultant vector if the two vectors are added together?

• (6, 3)

• (9, 8)

• (-9, -8)

• (3, 6)

Two forces on an object are in the same direction. How do we calculate the resultant force?

• divide one by the other

• multiply them

• take away one from the other

• add them together