Write the 3D Rotation Matrix around the y-axis by 0 = 45°:
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- a⃗ =⟨5, −1⟩ and b⃗ =⟨−2,−2⟩. Represent a⃗ +b⃗ using the head to tail method. Use the Vector tool to draw a⃗ and b⃗ , complete the head to tail method, and draw a⃗ +b⃗ .d = (-4, –2) and b = (1,3). Represent ä + b using the parallelogram method. Use the Vector tool to draw the vectors, complete the parallelogram method, and draw ä + b. To use the Vector tool, select the initial point and then the terminal point.Find the dot product of a = and b = .
- a⃗ =⟨−3,−5⟩ and b⃗ =⟨1,4⟩. Represent a⃗ +b⃗ using the parallelogram method. Use the Vector tool to draw the vectors, complete the parallelogram method, and draw a⃗ +b⃗ . To use the Vector tool, select the initial point and then the terminal point.On the grid below, draw the following vectors: a = −2i+3j b = −4+2 c = 57 6 3 2 ☑ 16 x -8-7-6-5-4-3-2-1 -2 1 2 3 -7 -8a⃗ =⟨5, −1⟩ and b⃗ =⟨−2,−5⟩. Represent a⃗ +b⃗ using the head to tail method. Use the Vector tool to draw a⃗ and b⃗ , complete the head to tail method, and draw a⃗ +b⃗ . To use the Vector tool, select the initial point and then the terminal point.
- Perform the vector addition: (– 7, 1) + (– 12, 3) =a⃗ =⟨2, −3⟩ and b⃗ =⟨1,4⟩.Represent a⃗ +b⃗ by using the parallelogram method. Use the Vector tool to draw the vectors, complete the parallelogram method, and draw a⃗ +b⃗ . To use the Vector tool, select the initial point and then the terminal point.Graph the two vectors x= (5, 1,3) and y=(-1,3,1
