Lesson Worksheet: Dot Product in 2D Mathematics
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