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Methods for finding the resultant vector?
You can add vectors graphically, by drawing them head-to-tail. Algebraically, you can separate them into components (for example, in two dimensions, the horizontal and the vertical component), then add those.
What is a plane?
A plane has several quite different meanings. A plane isA tree, otherwise known as a SycamoreA flat surface, more often conceptual than physicalA tool for smoothing a piece of woodOne of the lifting surfaces of an airplane - usually the tail-plane (aka horizontal stabiliser) or the wing (sometimes called main-plane)A level of thought or existenceA short form of airplane (q.v.). Strictly this one should be written 'plane not plane.
How do you graph the addition of complex numbers?
Consider the Complex Plane, with Real numbers along the horizontal axis, and Pure Imaginary numbers on the vertical axis. Any Complex number (a + ib) can be plotted as a point (a,b) on this plane. The point can be represented as a vector from the 'origin' (0,0) to the point (a1,b1). If the second 'complex vector' (a2,b2) is added to the first, this can be shown as a translated vector with it's 'tail' starting at the arrowhead of the first vector, and then the arrowhead of the second vector will terminate at the sum of: a1 + ib1 + a2+ ib2 [coordinate point: (a1+a2,b1+b2)
With a vertical velocity of 2.9m per second and a horizontal velocity of 8.3m per second what is the angle of takeoff?
About 19.24 degrees, assuming no change of velocity in either direction. Draw two vectors. A horizontal vector of length 8.3. and a vertical vector of length 2.9 and connect the "tail" of the second to the "head" or "arrow" of the first. You should have a horizontal line segment of 8.3 and a vertical line segment of 2.9 rising from the right end of the horizontal line segment. You'll have two sides of a right triangle, with the right angle on your right. Connect the ends of the two segments with another segment, and that's the hypotenuse of your right triangle. You're interested in the angle on the left - the takeoff angle. You know the length of the side opposite it and the length of the side adjacent to it. The tangent function is opposite over adjacent. tan = opp / adj You need the angle whose tangent is found by dividing the length of the opposite side by the length of the adjacent side. When we see "the angle whose tangent is" we use arctangent. We'll use T as the takeoff angle. arctan T = 2.9 / 8.3 = .349 arctan of .349 = 19.24o
What does an elevator on a plane do?
An elevator on a airplane are tabs on the tail that control its up and down motion in the air
