Trigonometry and Vectors

Given the following two vectors:

A= 3i+5j-2k

B= 6i+8j-2k

What is the sum of the two vectors?

• 10i-12j-4k

• 9i+13j-4k

• -9i+13j+4k

• none of the above

What is the resultant vector of vectors A and B given that Vector A is moving 30 km east and Vector B is moving 12 km west?

• 18 E

• 18 W

• 12 E

• 12 W

Kendrick measured the floor of his storage unit, which is rectangular. It is 12 meters wide and 15 meters from one corner to the opposite corner. How long is the storage unit?

• 8 m

• 8.5 m

• 9 m

• 9.5 m

A pole is situated 30 m from a house. If the angle of elevation between the ground and the top of the pole is 34 degrees, what is the height of the pole?

• 21.25 m

• 16.5 m

• 19.63

• 20.24

For a practice drill, a fire-fighter places a 25 foot ladder to the top of the wall. If the angle formed by the vertical is 25 degrees, how far is the ladder from the base of the building?

• 10.57 ft

• 10.90 ft

• -10.25 ft

• 9.52 ft

What is the magnitude of the resultant vector of Vectors A and B given that Vector 5 is moving 30 km east and Vector B is moving 12 km south?

• 32.31 SW

• 30.25 SE

• 32.31 SE

• 30.25 SW

Given the following vectors:

A= 2i+5j-7k

B= 4i-4j+8k

C= -3i+6j+2k

Calculate the sum of the following operation: 2(A+B+C)

• 3i+7j+3k

• -3i+7j-3k

• 6i+14j+6k

• -6i-14j+6k

Given the following vector components:

x=36cos85

y=36sin85

What is the value of the resultant vector that is formed between these two vector components?

• 35

• 36

• 37

• 38

A vector is moving to the Northeast with a magnitude of 25 m and an angle of 35 degrees. What is the x-component of the vector?

• 20.48 m

• 14.34 m

• 31.72 m

• 14.79 m

Given a vector with a magnitude of 350 m directed at an angle of 150 degrees, what would be the x-component of the vector?

• -303.11 m

• 175 m

• 75 m

• -129.90 m