C.W 2 G12 AET (VECTORS) counted

Let 𝑃(−2,2),𝑄(3,4), 𝑅(−2,5) , 𝑆(2,−8) . Find the component form and magnitude of the vector PQ

• < 5,2 >

  29

• < −5,1 >

  26

Let 𝑢 =< −1,3 > , 𝑣 =< 2,4 >,𝑤 =< 2,−5 > . Find the components of the vector 2𝑢 + 3𝑤.

• < 4,−9 >

• < 8,−9 >

• < 4,21 >

• < 8,−21 >

Find a unit vector in the direction of the given vector

𝑤 = 5𝑖 + 5𝑗

• The weight of the box is about 30 lb.

• The weight of the box is about 32 lb.

• The weight of the box is about 100 lb.

• The weight of the box is about 88 lb.

Which of the following expresses vector 𝑣 with an initial point 𝑃(0,−7) and a terminal point 𝑄(−9,0) in component form?

• (−9,−7)

• (9,7)

• (0,0)

• (−9,7)

Determine whether vectors u and v are orthogonal.

𝑢 =< −4,−1 > and 𝑣 =< 1,−4 >

• Orthogonal

• Not orthogonal.

Find the vector projection of u onto v.

𝑢 =< 8, 2 > and 𝑣 =< 5,−5 >

• ⟨3,−3⟩

• ⟨5, 5⟩

• ⟨13, -3⟩

• ⟨8, 2⟩

Find angle C in the triangle below.

(−4,5) , (1,10), (3,1)

A person pushes a car with a constant force of 120 N at a constant angle of 45 degree. Find the work done in Joules moving the car 10 meters.

• 848.5 𝑗𝑜𝑢𝑙𝑒𝑠

• 120 𝑗𝑜𝑢𝑙𝑒𝑠

• 1200 𝑗𝑜𝑢𝑙𝑒𝑠

• 130 𝑗𝑜𝑢𝑙𝑒𝑠

Jack is sitting on a sled on the side of a hill inclined at 45 degree The combined weight of Jack and the sled is 140 pounds. What force is required for Friend to keep the sled from sliding down the hill?

• 140 𝑝𝑜𝑢𝑛𝑑𝑠

• 99𝑝𝑜𝑢𝑛𝑑𝑠

• 70 𝑝𝑜𝑢𝑛𝑑𝑠

• 198 𝑝𝑜𝑢𝑛𝑑𝑠