7/14/2023 0 Comments Vector math calculatorUse the following vectors to answer each part. (b) Find the equation of the intersection of this surface with the plane y = 0. (a) Find the equation of the intersection of this surface with the plane x = □. (b) If a is fixed, is W an increasing or decreasing function of v? a) Increasing (a) If v is fixed, is W an increasing or decreasing function of a? Suppose W(a,v) = k (sqrt(a/v)) where k is a positive constant. The width of the carpet, W, can be expressed as a function of a, the air temperature on the ground, and v, the vertical temperature gradient at the airplane's altitude. A sonic boom carpet is a region on the ground where the sonic boom is heard directly from the airplane. (d) The vector −sqrt(3)/2i + 1/2 j makes an angle of 2□3 with the positive x-axis. (c) The distance from Tucson to Chicago is a vector. ![]() ![]() (a) The velocity for wind blowing at 30 miles per hour from the west can be represented by 30 i. Q1)ĭetermine if the following statements are true or false. (d) Find the vector component of u that is parallel to 6 i. What is the tangent of the angle that the plane's heading makes from due east? Assume no wind is affecting the plane. v, if we know that || u || = 16 and u makes an angle of □/3 with v = 3 i + 2 j. ![]() (a) Find the length of the displacement vector from the origin to the point (c, −b, a).ī) Find a unit vector in the opposite direction ofĬ) Find a non-zero vector in the xz-plane that is perpendicular to Your answers will be in terms of a, b, and c. Assume a, b, and c are all different non-zero constants. Q1)Įach part of this problem is independent of the other parts. W = c i − 24 j + 12k parallel to v = 3c2 i + 4 j − 2k. Which of the following is an illustration of the subtraction of two vectors,ĭetermine the value(s) of c that will make
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