Conic Sections

Question 1

Let r = ⟨7, 1⟩, s = ⟨–6, 2⟩, and t = ⟨–9, –3⟩. What is 10r + s – t?

Revolt · Accepted Answer

⟨73, 15⟩

Question 2

A force of 10 newtons acts in a direction 75° above horizontal, moving an object 15 meters from (0, 0) to (15, 0). What is the work done by the force?

Revolt · Accepted Answer

38.82 joules

Question 3

Given vectors u = ⟨2, –3⟩ and v = ⟨1, –1⟩, what is the measure of the angle between the vectors?

Revolt · Accepted Answer

11.3°

Question 4

Which graph shows u + v for the given vectors u and v?

Revolt · Accepted Answer

On a coordinate plane, vector u has origin (0, 0) and terminal point (1, 4), vector u + v has origin (0, 0) and terminal point (3, 2), vector v has origin (0, 0) and terminal point (2, negative 2).

Question 5

A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between the landmarks in degrees. [Not drawn to scale]What is the distance, x, between the two landmarks? Round the answer to the nearest tenth.

Revolt · Accepted Answer

98.5 m

Question 6

Vector u has initial point at (6, 8) and terminal point at (3, –2). Vector v has initial point at (–4, –3) and terminal point at (1, –7).What is u – v in component form?

Revolt · Accepted Answer

⟨-8, -6⟩

Question 7

Review the graph.

Revolt · Accepted Answer

StartRoot 13 EndRoot

Question 8

Review the diagram.

Revolt · Accepted Answer

approximately 85 m

Question 9

What is the measure of angle R in shown below, given r = 10, q = 20, and Q = 100°? Round the answer to the nearest tenth. [Not drawn to scale]

Revolt · Accepted Answer

29.5°

Question 10

Let u = ⟨–2, 6⟩, v = ⟨3, 2⟩, and w = ⟨–1, 4⟩. What is the magnitude and direction angle of 2(u + v) – 3w?

Revolt · Accepted Answer

6.4; θ = 38.7°

Conic Sections Answers

More from this Course

TRY EDGENUITY HACKS