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Explain how you can convert from a plane's scalar equation to a
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- How do you find a vector perpendicular to a plane?What is the equation of the vector in a Cartesian coordinate system that originates from the origin and terminates at point C (6,2-4)?A pilot heads his jet due east. The jet has a speed of 475 mi/h relative to the air. The wind is blowing due north with a speed of 40 mi/h. (Assume that the i vector points east, and the j vector points north.) (a) Express the velocity of the wind as a vector in component form. 40j (b) Express the velocity of the jet relative to the air as a vector in component form. 475î (c) Find the true velocity of the jet as a vector. 4751+ 40j✔ (d) Find the true speed of the jet. (Round your answer to the nearest integer.) x mi/h Find the direction of the jet. (Round your answer to one decimal place.) N 40 XE
- Find a vector equation and parametric equations for the line segment that joins (−2, 4, 0) to(6, −1, 2).A pilot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The wind is blowing due north with a speed of 40 mi/h. (Assume that the i vector points east, and the j vector points north.) (a) Express the velocity of the wind as a vector in component form. (0, 40) (b) Express the velocity of the jet relative to the air as a vector in component form. (450, 0) (c) Find the true velocity of the jet as a vector. 450i - 40j (d) Find the true speed of the jet. (Round your answer to the nearest integer.) 451.77428 v mi/h Find the direction of the jet. (Round your answer to one decimal place.) N 84.9How do you find a vector's magnitude and direction?