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Apple Computing Products:
macOS - Apps and Programs
questions about vectors and graphing in Grapher
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<blockquote data-quote="strangelove1221" data-source="post: 1438085" data-attributes="member: 268118"><p>I am a new user of Grapher, and there doesn't seem to be a user manual for the program. So I'm hoping someone can help me with four issues I've had:</p><p></p><p>1) How do I make the axes all different colors in a 3-D graph? I want the x-axis to be red, the y-axis to be green, and the z-axis to be blue, but I haven't figured out how.</p><p></p><p>2) How do I plot a vector? When I choose the vector option from the palette and fill in values for x and y, Grapher just plots a point. But I want Grapher to graph the actual vector, an arrow starting at the origin and ending at the point.</p><p></p><p>3) Grapher seems to graph vector fields incorrectly. For example, I wanted to plot the 2D vector field -yi + xj. So I did Equation -> New Equation from Template -> Vector Field, and chose Explicit Cartesian. In the top blank space of the empty vector I filled in -y, and in the bottom blank space I filled in x. Grapher then produced a vector field with the correct shape, but all of the vectors were the same length. This is incorrect, as the arrows should get longer the farther they are from the origin. Am I doing something wrong, or does Grapher just not handle vector fields correctly? I did notice that as you move farther away from the origin, the vectors change color, so is color change just how Grapher shows that the vectors are getting longer? If so, how do I change it to display the actual length of the vectors?</p><p></p><p>4) Can Grapher do dot product and cross product of vectors? Can I hand Grapher two 3-D vectors, and have Grapher spit out the resulting cross product (and simultaneously graph all three vectors)?</p><p></p><p>Any help will be greatly appreciated!</p></blockquote><p></p>
[QUOTE="strangelove1221, post: 1438085, member: 268118"] I am a new user of Grapher, and there doesn't seem to be a user manual for the program. So I'm hoping someone can help me with four issues I've had: 1) How do I make the axes all different colors in a 3-D graph? I want the x-axis to be red, the y-axis to be green, and the z-axis to be blue, but I haven't figured out how. 2) How do I plot a vector? When I choose the vector option from the palette and fill in values for x and y, Grapher just plots a point. But I want Grapher to graph the actual vector, an arrow starting at the origin and ending at the point. 3) Grapher seems to graph vector fields incorrectly. For example, I wanted to plot the 2D vector field -yi + xj. So I did Equation -> New Equation from Template -> Vector Field, and chose Explicit Cartesian. In the top blank space of the empty vector I filled in -y, and in the bottom blank space I filled in x. Grapher then produced a vector field with the correct shape, but all of the vectors were the same length. This is incorrect, as the arrows should get longer the farther they are from the origin. Am I doing something wrong, or does Grapher just not handle vector fields correctly? I did notice that as you move farther away from the origin, the vectors change color, so is color change just how Grapher shows that the vectors are getting longer? If so, how do I change it to display the actual length of the vectors? 4) Can Grapher do dot product and cross product of vectors? Can I hand Grapher two 3-D vectors, and have Grapher spit out the resulting cross product (and simultaneously graph all three vectors)? Any help will be greatly appreciated! [/QUOTE]
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questions about vectors and graphing in Grapher
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