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Laws of Sins and Cosines
Vector Operations
Vector Applications
Vector Calculations
"What's Your Vector, Victor?" Potpourri
100

The angle C if c=23.3, B=97 degrees, and b=33.8, rounded to one decimal place.

What is 43.2 degrees?

100

The vector 5v where v=-6i-4j.

What is -30i-20j?

100
The net force produced by two forces acting 3 N due East, and 8 N due West
What is 5 N due West?
100
Two people are pushing a box. Person A pushes with 100 N of force due East. Person B pushes with 80 N of force due East. The overall force is.....
What is 180 N East?
100

All solutions to cos(2x)-cos(x)=0.

What are 2pi/3+2kpi, 4pi/3+2kpi, and 2kpi for all integers, k?

200

The angle A if a=46, b=19, and c=36, rounded to one decimal place.

What is 109.6 degrees?

200

(5i+2j)-(6i+j).

What is -i+j?

200
The net force produced by vectors of 10 N due North, 10 N due East, 10 N due West, and 10 N due South.
What is 0 N?
200
The magnitude and direction of a plane flying 400 km/hr due North with a 45 km/hr crosswind blowing due East is....
What is 402.5 km/hr 6.4 degrees East of North?
200

The smallest two solution(s) to 2cos(3x)=1 in [0, 2pi).

What are pi/9 and 5pi/9?

300

Standing on top of a 30-ft lifeguard tower, an observer measures the angle of elevation of a parasail to be 18 degrees. The same observer standing on the ground next to the tower measures the angle of elevation to be 21 degrees. If the eye level of the observer is 5ft, this is the height of the parasail to the nearest foot.

What is 15.77 degrees?

300

The length of the vector u+v where u=<-4,4> and v=<1,3>.

What is sqrt(58)?

300
A right triangle has a resultant of 20 N at an angle of 32 degrees to a table top. Find the Ry value.
What is 10.6 N?
300
A boat heads directly across a stream with a velocity of 10 m/s. The stream flows due East at 5 m/s. What is the velocity of the boat with the stream influencing it, and at what direction should the captain aim the boat to cross the stream as planned?
What is 11.2 m/s at a heading of 26.6 degrees West of North in order to go directly across.
300

Both solutions to 4sin^2(x)+sin(2x)sec(x)-4=0 in [0, 2pi), rounded to 3 decimal places.

What are 0.896 and 2.246?

400

The square footage of a triangular sign with sides 12, 8, and 8 inches, rounded to two decimal places?

What is 31.75 square inches?

400

I first wander from home 2 miles S16E and then 5 miles due South. This is the distance I'd have to walk to get home rounded to the nearest tenth of a mile.

What is 6.9 miles?

400
A right triangle has a resultant of 45 N at an angle of 10 degrees to the table top. Find the Rx value.
What is 44.3 N?
400
The resultant of a right triangle is 35 lbs. The angle is 26 degrees. Find the Rx and Ry components.
What is Rx = 31.5 lbs and Ry = 15.3 lbs?
400
Create a scale drawing of the following to find the resultant: 30 lbs due North and 50 lbs due East.
What is 60 lbs. 30 degrees North of East?
500

A satellite calculates the distance to one city at 390 km and another 380 km. The angle between the lines from satellite to city is 2.4 degrees. This is the distance between the two cities rounded to the nearest tenth.

What is 19 km?

500

This is the component form of a jet's true velocity if it is traveling N60W at 500 mph and there is a 20 mph wind blowing toward the south.

What is <-250sqrt(3), 230>?

500
The Rx vector is 6 due East and the Ry vector is 12 due North. What is the angle measured in degrees & direction?
What is 63 degrees N of E.
500
The hypotenuse of a right triangle is 22 dynes. The Ry value is 6 dynes. Find the Rx value and the angle with direction.
What is 21.2 dynes at 15.8 degrees North of East?
500
Create a scale drawing of the following to determine the resultant: 200 N 30 degrees North of East, 200 N 30 degrees South of East, and 150 N due East.
What is 500 N due East?