Solving problems involving operations on vectors

Which statement is true?

•  $\overrightarrow{OM}\ =\ 2.5a\ +\ 1.5b$  

•  $\overrightarrow{OM}\ =\ 2.5a\ +\ 4.5b$  

•  $\overrightarrow{OM}\ =\ 2.5b\ +\ 1.5a$  

•  $\overrightarrow{OM}\ =\ 2.5a\ -\ 1.5b$  

• (-2, 8)

• (-2, 0)

• (6, 8)

• (6, 0)

Which are equivalent vectors?

• u and z

• u and a

• u and v

• u and b

• a + b

• a - b

• b - a

• - a

• a

What is a Vector in geometry?

• an open point plot used to graph statistics

• a directed segment representing a quantity that has both magnitude and direction

• a line that cuts through an obtuse angle perpendicularly

• a line that cuts through an acute angle perpendicularly

Two forces: 32N and 45 N with angle between of 35 deg. Determine the magnitude of the resultant.

• 5408.2

• 26.3

• 689.8

• 73.5

• (-6,-15)

• (-6, 5)

• (20, 5)

• (20, 15)

Find the direction angle of the resultant for the Force vectors given:
F₁ : magnitude = 60 lbs, θ = 80°
F₂ : magnitude = 80 lbs, θ = 20°

• 121.66 lbs
• <85.6, 86.5>
• 45.3°
• 140 lbs

Given vector a = 3i - 5j and b = -2i -3j . Find a + 3b

• -3i -14j

• -3i + 14j

• -14i -3j

• -14i + 3j

If vector a= (4, -5) and vector b= (-7, 4) Find 2a-3b

• (29, -22)

• (13, -2)

• (1, 7)

• (29, -2)