Unit vectors, vector sums and combinations
Grade 11 Math Worksheet
Circle the best answer, or write your answer on the line.
A kayak paddles with u = ⟨3, 1⟩ and is pushed by v = ⟨-5, 2⟩. Milo plots u + v. To the nearest tenth of a degree, what is its direction angle?
A robot rolls with u = ⟨4, -1⟩ and is pushed by v = ⟨-6, -3⟩. Noah plots u + v. To the nearest tenth of a degree, what is its direction angle?
Tala has u = 2i − j and v = -4i + 3j. In the form ai + bj, what is 3u − 2v?
Zee has u = i + 5j and v = 3i − 2j. In the form ai + bj, what is 4u − 3v?
Esme has u = -3i + 2j and v = 2i + 6j. In the form ai + bj, what is 2u − 5v?
Kira has u = 5i + j and v = -i − 4j. In the form ai + bj, what is 2u − 3v?
A tow rope pulls a cart with a force of 15 N in the direction of d = ⟨3, 4⟩. Luz writes it as a vector. As (run, rise), what is it?
A kite string pulls with a force of 26 N in the direction of d = ⟨5, 12⟩. Milo writes it as a vector. As (run, rise), what is it?
A robot is told to roll 5 m in the direction of d = ⟨-8, 6⟩. Noah writes it as a vector. As (run, rise), what is it?
A sled is pulled with a force of 39 N in the direction of d = ⟨-12, -5⟩. Pia writes it as a vector. As (run, rise), what is it?