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Worksheet: Dot Product
Q2:
Given that is an isosceles triangle, where and , determine correct to the nearest hundredth.
Q3:
Given that is an isosceles triangle, where and , determine .
Q4:
Given that is an equilateral triangle whose side length is 57 cm, and is the point of concurrency of its medians, evaluate .
- A
- B
- C270.75
- D
- E135.375
Q5:
For the unit vectors , , , what is ?
Q6:
.
- A
- B0
- C1
- D
- E
Q7:
If find .
Q8:
If the two vectors and are perpendicular, determine the value of .
Q9:
If and , calculate the scalar product of and .
Q10:
and Find .
Q11:
In trapezoid , with parallel sides and , suppose and are right angles, and that , while . Determine .
- A
- B
1β499.46
- C
1β776.08
- D
Q12:
If , , and , find the size of the angle between the two vectors.
- A
- B
- C
- D
Q13:
is a trapezoid, where , , , and , evaluate .
- A
- B44
- C
- D84
Q14:
In trapezoid , with parallel sides and , suppose and are right angles and that , while . Determine .
- A
- B480.82
- C
2β890
- D152
Q15:
If is an equilateral triangle of side 4.75, find approximated to the nearest hundredth.
Q16:
For the unit vectors , , , what is ?
Q17:
If is an equilateral triangle of side length 29.9 cm, find .
- A 1β788.02
- B 1β548.47
- C447.01
- D894.01
Q18:
Given that is a right triangle at , where and , determine .
- A
- B
- C2.88
- D7.29
Q19:
In trapezium , with parallel sides and , suppose and are right angles, and that , while . Determine .
Q20:
If is a parallelogram in which , , and , evaluate .
Q21:
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 Nβ m
- B Nβ m
- C Nβ m
- D Nβ m
Q22:
Equilateral triangle has side 6.6. Find .
Q23:
Square has side 10 cm. What is ?
Q24:
If and , find to the nearest hundredth.
Q25:
Equilateral triangle has side 46.6. Find to the nearest hundredth.