For the linear transformation С represented by the equation x - 2y = 0, find a vector v parallel to e, and a vector w perpendicular to C. Make your vectors v and w simple so that your computations are not overly complicated.
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- a⃗ =⟨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.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.Solve for the linear equation of the plane through the origin and perpendicular to the vector ⟨−4,−5,3⟩.
- Find a vector perpendicular to the graph of z = - 3 x2 + 9 y2 – 7 x y at the point (8, 2, -268).Q2. What will be the effect of multiplying the vector by a positive and a negative scalar. Explain in details the effect of each .caseFind the vector form of the equation of the line in R2 that passes through P= (2, - 1) and is parallel to the line with general equation 2x -3y = 1.