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- Reflect the vector (-3, 5) across the line y=xa⃗ =⟨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.Find the unit vector in the direction of (3.-2). Write your answer in component form. Do not approximate any numbers in your answer.
- If the wind is blowing from the east at 47 km/h and an airplane is on a heading of 155° with an airspeed of 840 km/h find the ground velocity of the airplane and the direction of flight. Draw the vector diagram (tail-to-tail) on the two-dimensional grid to illustrate this situation. please, step by stepZha begins 7 kilometers to the north of town, and rides his bike along a straight trail which leads to a park 3 kilometers west of town. He takes 20 minutes to cover this distance. •Write a vector in component form describing Zha's bike ride. oFind the magnitude and direction of this vector. • Find the component of Zha's motion which is in the direction "southwest". (Use a unit vector to represent this direction.) Use both forms of the dot product (algebraic and geometric) to compute this, and compare to be sure you get the same answe both ways. ways. same answer both •Write parametric equations expressing Zha's motion, with town being represented by the origin, and t 0 representing his start point. oFind the coordinates of Zha's location after 5 minutes using these parametric equations. o Eliminate the parameter to get a Cartesian equation for this linear path. Verify algebraical that this equation represents this line. - Verify graphically using Desmos or other technology that the…Find the magnitude and direction of the vector w = < - 2 square root 2 > , < - 2 square root 2 > .
- 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 .Determine a vector equation for a line that goes through the following points: (-8, 7, 8) and (-10, 13, 4)Determine a vector equation for the line segment connecting the points: P = (-9, -4, 3) and Q = (-6, -9, -3), parameterized so that t = 0 would give point P and t = 1 would give point Q
- a⃗ =⟨−3,−2⟩ and b⃗ =⟨2,4⟩. Represent a⃗ −b⃗ using the head-to-tail method. Use the Vector tool to draw the vectors, complete the subtraction by the head-to-tail method, and draw a⃗ −b⃗ .i = (-1, - 2) and D = 4 What is D.ñ? Enter your answer as a vector by filling in the boxes.Find the vector v whose magnitude is 7 and whose component in the i direction is both positive and equal to the component in the j direction. Write final answer in terms of i and j. Give exact values.