# Worksheet: Dot Product

Q1:

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

• A
• B
• C
• D

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
1β499.46
• C
1β776.08
• 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
2β890
• 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 1β788.02
• B 1β548.47
• 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.