# Worksheet: Dot Product in 2D

In this worksheet, we will practice finding the dot product of two vectors in 2D.

Q1:

If and are unit vectors, which interval does lie in?

• A
• B
• C
• D

Q2:

Square has side 10 cm. What is ?

Q3:

If and , find to the nearest hundredth.

Q4:

In rectangle , we have and . Determine to the nearest hundredth.

Q5:

.

• A
• B0
• C1
• D
• E

Q6:

In trapezoid , with parallel sides and , suppose and are right angles, and that , while . Determine .

Q7:

In trapezoid , with parallel sides and , suppose and are right angles and that , while . Determine .

Q8:

In trapezoid , with parallel sides and , suppose and are right angles, and that , while . Determine .

Q9:

If the two vectors and are perpendicular, determine the value of .

• A
• B
• C
• D
• E

Q10:

If and , calculate the scalar product of and .

Q11:

Given that the norm of is 4 newtons in the direction of north of west, and the norm of is 21 meters in the direction of west, determine .

• A N⋅m
• B N⋅m
• C N⋅m
• D N⋅m

Q12:

is a trapezoid, where , , , and , evaluate .

Q13:

Given that is an isosceles triangle, where and , determine correct to the nearest hundredth.

Q14:

If is an equilateral triangle of side 4.75, find approximated to the nearest hundredth.

Q15:

If is an equilateral triangle of side length 29.9 cm, find .

Q16:

Equilateral triangle has side 6.6. Find .

Q17:

Equilateral triangle has side 46.6. Find to the nearest hundredth.

Q18:

If is a parallelogram in which , , and , evaluate .

Q19:

Given that is an isosceles triangle, where and , determine .

Q20:

Given that is an equilateral triangle whose side length is 57 cm, and is the point of concurrency of its medians, evaluate . Q21:

Given that is a right triangle at , where and , determine .

Q22:

is a square with a side length of 9.9. Find .

Q23:

is a square that has a side length of 12 cm. Determine the scalar product of the two vectors and .

Q24:

Given that is a regular hexagon of side length 8 cm, evaluate .

Q25:

Given that , , and , determine the value of .

• A
• B
• C
• D
• E