# SOLUTION: MCV4U Calculus Practice Quadrant Bearings Quiz

SOLUTION: MCV4U Calculus Practice Quadrant Bearings Quiz.

‘XH’DWH0DVW
Name: ___________________________
/1 K/U
/ APP
/ COMM
/T/I
/
MCV4U –)LQDO3URMHFW3DUW
1. Convert each of the true bearings below into quadrant bearings: [COMM 1 mark each]
a) 075o
b) 128o
c) 234o
d) 317o
2. Convert each of the quadrant bearings below into true bearings: [COMM 1 mark each]
a) S56oE
b) S23oW
c) N71oW
d) N43oE
3. Vectors !, !, and ! are given below. Accurately draw the following vectors. [K/U 3
marks each]
!
a) ! = 2! − ! − !
!
!
!
!
b) ! = ! − 2! + !
!
!⃑
!⃑
!!⃑
4. Consider the parallelogram PQRS, where !” = ! and !” = !. Find a single vector to
represent each of the following: [APP 1 mark each]
a) ! + !
P
Q
b) ! + !
c) ! − !
d) ! − !
S
R
5. In the rectangular prism, find a vector expression, in term of !, !, and !, for each vector
below. [K/U 1 mark each]
a) !” =
b) !” =
c) !” =
d) !” =
!⃑
e) !” =
f) !” =
!⃑
!
!⃑

‘XH’DWH0DVW
Name: ___________________________
6. While camping in northern regions at night, people often keep food out of the reach
of animals by hanging it between two trees. If a food bag weighing 435 N is tied
between two trees 6 m apart by two ropes that are 4 m and 5 m long. Find the tension
in each rope. [T/I 4 marks]
A log is being pulled along level ground by a 370 N force exerted at an angle of 35° to
the ground. Find the magnitude of the force in the direction of motion and of the force
tending to lift the log. [APP 3 marks]
. A cruise ship’s captain sets the ship’s velocity to be 26 knots at a heading of 080°. The
current is flowing towards a bearing of 153° at a speed of 8 knots.
a) Draw a vector diagram to represent this situation. [APP 2 marks]
b) What is the ground velocity and bearing of the cruise ship? [APP 4 marks]

Name: ___________________________
‘XH’DWH0DVW
9. Determine ݇ so that [11,3, 2݇] is orthogonal (perpendicular) to [݇, 4, ݇]. [APP 2 marks]
10.Identify the type of triangle with vertices A(2,3, -5), B(-4, 8, 1) and C(6, -4, 0). [APP 3 marks]
11. Determine the projection of ݃റ ൌሾͳͲǡെ͵ǡ2] onto ݄ሬറ ൌሾͶǡെͶǡͳሿ. [K/U 2 marks]
12.If ܿറ = ܽറ × ܾሬറ, what is the value of ܿറ ή ܽറ and ܿറ ή ܾሬറ? Justify your response. [COMM 3 marks]

Name: ___________________________
‘XH’DWH0DVW
13. A wrench is rotated with torque of magnitude 100 Nym. The force is applied 30 cm
from the fulcrum, at an angle of 40°. What is the magnitude of the force? [APP 3 marks]
ሬሬሬሬሬറ on the three
14. Plot the points ‫(ܣ‬3, 5, 7) and‫( ܤ‬െ2, 0, െ1) and then plot the vector ‫ܤܣ‬
dimensional plane as well. [COMM 3 marks].
15. Find the volume of the parallelepiped defined by ‫ݑ‬
ሬറ = [1, 1, 9], ‫ݒ‬റ = [0, 0, 4], and ‫ݓ‬
ሬሬറ =
[െ2, 0, 5]. [APP 3 marks]
16.A triangle has vertices A(3, 2, -5), B(4, -1, 7), and C(-8, 3, -6). Calculate the area of ‘ABC. [T/I
3 marks]

attachment

SOLUTION: MCV4U Calculus Practice Quadrant Bearings Quiz

Pages (275 words)
Standard price: \$0.00
Client Reviews
4.9
Sitejabber
4.6
Trustpilot
4.8
Our Guarantees
100% Confidentiality
All your data is secure and will never be disclosed to third parties. Your essay or assignment is treated as your intellectual property and can never be shared or provided as a sample to aspiring customers.
Original Writing
We complete all papers from scratch. You can get a plagiarism report.
Timely Delivery
You will never have to worry about deadlines – 98% of our assignments are completed on time.
Money Back
We give refunds anytime you feel the work did not meet your expectations. However, we have not refunded any papers in the last 6 months as our team keeps improving their quality and customer service.

## Calculate the price of your order

You will get a personal manager and a discount.
We'll send you the first draft for approval by at
Total price:
\$0.00