HPC Chapter 6a Review

Find the component form of a vector whose initial point is (5, 7) and terminal point is (1, 10)

• <-4, 3>
• <4, -3>
• 5
• <6, 17>

Find the component form of a vector whose magnitude is 10 and direction is 150°.

• <10, 150>
• <-8.66, 5>
• <6.99 , -7.14>
• 10i + 150j

Given u = <3, 7> and v =<-5, 4>, find 2u - 3v

• <21, 2>
• <-11, 26>
• <8, 3>
• 23

Find the magnitude of the vector <-5, 12>

• 13
• 10.91
• 7
• 17

Find the direction angle for the vector <2, 7>

• 74.05°
• 15.95°
• 195.94°
• 97.28°

Find the direction angle for the vector <5, -2>

• 338.20°
• 21.80°
• 291.80°
• 68.2°

Find the unit vector in the direction of <4, -3>

• <⅘, -⅗>
• <0.57, -0.43>
• <1, -1>
• -¾

Find the magnitude 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

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

Two forces with magnitudes of 250 pounds, and 200 pounds act on an object at angles of 50° and -40° respectively. Find the component form of the resultant Force.

• <313.91, 62.95>
• 320.16 pounds
• 450 pounds
• 11.34°