# Worksheet: Scalars, Vectors, and Directed Line Segments

Q1:

Which vector has the same direction as ?

• A
• B
• C

Q2:

In the given parallelogram , , is the midpoint of , and is the midpoint of . Complete the following: is equivalent to .

• A
• B
• C
• D

Q3:

Find the components of the vector shown on the grid of unit squares below.

• A
• B
• C
• D
• E

Q4:

Find the magnitude of the vector shown on the grid of unit squares below.

Q5:

Find the magnitude of the vector shown on the grid of unit squares below.

• A
• B
• C5
• D
• E9

Q6:

Find the magnitude of the vector shown on the grid of unit squares below.

• A
• B
• C13
• D
• E

Q7:

Given that , express the vector in terms of the unit vectors and , and find its norm .

• A ,
• B ,
• C ,
• D ,
• E ,

Q8:

Given that , where and are two perpendicular unit vectors, find .

• A
• B
• C
• D

Q9:

Given that the vectors and are perpendicular, find the value of .

Q10:

Given that is a square of side length 9 cm, determine the scalar product of and .

Q11:

Given that is a rectangle in which cm and cm, define the algebraic projection of in the direction of .

Q12:

If is a rectangle in which and , evaluate .

Q13:

If is a rhombus in which and , evaluate .