Trigonometry PRACTICE Test

Online Homework System Assignment Worksheet

6/21/18 - 4:52 PM

Name: ____________________________ Class: American Public University System - Precalculus (MATH111 C003 Win 18) (3u7gt5)

Class #: ____________________________ Section #: ____________________________ Instructor:Maple T.A. Administrator Assignment:PRACTICE TEST 7.3

Question 1: (1 point)

Find the direction angle of Round to the nearest tenth of a degree, as needed.

____________ °

Question 2: (1 point)

Find the direction angle of .

____________ °

Question 3: (1 point)

Suppose is a vector with initial point and terminal point Write as a linear combination of the

standard unit vectors and .

____________ ____________

= −4 + 6 .y⇀ i ⇀

j ⇀

θ ≈

= (10 cos 180 °) + (10 sin 180 °)v⇀ i ⇀

j ⇀

θ =

v⇀ (1, 3) (− 5, 0). v⇀

=i ⇀

⟨1, 0⟩ =j ⇀

⟨0, 1⟩

=v⇀ +i ⇀

j ⇀

Question 4: (1 point)

A car is traveling at a speed of 30 mph with a bearing of 135 ° on a compass.

What is the velocity vector?

Enter the horizontal component in the first box and the vertical component in the second box.

__________ ,__________

Question 5: (1 point)

Find a unit vector with the same direction as

Enter the horizontal component in the first box and the vertical component in the second box.

__________, __________

Question 6: (1 point)

Express the vector in component form when the reference angle is .

Round each component to the nearest tenth.

⟨ ⟩

⟨8, 15⟩.

⟨ ⟩

50°

Enter the horizontal component in the first box and the vertical component in the second box.

____________ , ____________

Question 7: (1 point)

Find the components of a vector with magnitude and a direction angle of

Enter the horizontal component in the first box and the vertical component in the second box.

__________ , __________

Question 8: (1 point)

What are the components of a vector with magnitude and a direction angle of ?

Enter the horizontal component in the first box and the vertical component in the second box.

__________ , __________

⟨ ⟩

10 150°.

⟨ ⟩

7 2‾√ 45°

⟨ ⟩

Question 9: (1 point)

Find if and .

(a)

(b)

−z⇀ w⇀ = ⟨−3, 1⟩z⇀ = ⟨−4, −5⟩w⇀

(c)

(d)

Question 10: (1 point)

Find if and −r⇀ s⇀ = ⟨1, 3.8⟩r⇀ = ⟨−1.6, 2.9⟩.s⇀

= ____________ ,____________

Question 11: (1 point)

Find if and

(a)

−r⇀ s⇀ ⟨ ⟩

+v⇀ w⇀ = ⟨− 4, 3⟩v⇀ = ⟨− 4, − 5⟩.w⇀

(b)

(c)

(d)

Question 12: (1 point)

Find if and

= ____________ ,____________

Question 13: (1 point)

Graph if

+w⇀ v⇀ = ⟨3, 1⟩w⇀ = ⟨5, −2⟩.v⇀

+w⇀ v⇀ ⟨ ⟩

− 12 v⇀ = ⟨2, 8⟩.v⇀

(a)

(b)

(c)

(d)

Question 14: (1 point)

Given the vector , what is the value of ?

= ____________ ,____________

= ⟨8.5 , − 2.1⟩w⇀ 4 w⇀

4 w⇀ ⟨ ⟩

Question 15: (1 point)

Find the magnitude and direction of the vector .

Magnitude = __________

Enter the direction angle to the nearest hundredth.

Direction angle ≈ ____________ °

Question 16: (1 point)

Find the magnitude and direction of the vector , − .

Magnitude = __________

Direction angle = __________ °

Question 17: (1 point)

⟨−7, 3⟩

⟨ 5 5 3‾√ ⟩

Find the component form of vector .

= ____________ ,____________

v⇀

v⇀ ⟨ ⟩

Question 18: (1 point)

Find the component form of vector with an initial point at the origin and a terminal point at (− 6, 7).

= ____________ ,____________

v⇀

v⇀ ⟨ ⟩