Worksheet: Dot Product
In this worksheet, we will practice finding the dot product of two vectors in 2D.
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 trapezium , with parallel sides and , suppose and are right angles, and that , while . Determine .
Q7:
In trapezium , with parallel sides and , suppose and are right angles and that , while . Determine .
Q8:
In trapezium , with parallel sides and , suppose and are right angles, and that , while . Determine .
Q9:
If find .
Q10:
If the two vectors and are perpendicular, determine the value of .
- A
- B
- C
- D
- E
Q11:
If and , calculate the scalar product of and .
Q12:
and Find .
Q13:
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
Q14:
If , , and , find the measure of the angle between the two vectors.
- A
- B
- C
- D
Q15:
is a trapezium, where , , , and , evaluate .
Q16:
Given that is an isosceles triangle, where and , determine correct to the nearest hundredth.
Q17:
If is an equilateral triangle of side 4.75, find approximated to the nearest hundredth.
Q18:
If is an equilateral triangle of side length 29.9 cm, find .
- A1,788.02
- B894.01
- C447.01
- D1,548.47
Q19:
Equilateral triangle has side 6.6. Find .
Q20:
Equilateral triangle has side 46.6. Find to the nearest hundredth.
Q21:
For the unit vectors , , , what is ?
Q22:
For the unit vectors , , , what is ?
Q23:
If is a parallelogram in which , , and , evaluate .
Q24:
Given that is an isosceles triangle, where and , determine .
Q25:
Given that is an equilateral triangle whose side length is 57 cm, and is the point of concurrency of its medians, evaluate .
- A270.75
- B
- C
- D
- E135.375