Let the solid form in the orthogonal coordinate system xyz be surrounded by points A, B, C, D and F, where A = (-4, 1, 3), B = (6, 1, 1), C = ( 9, 5, 0), D = (4, 5, 1), E = (5, 3, 8) and F is the midpoint of the line BD as shown in Figure 1. Find the value of alpha where alpha is the angle between the vectors. FA and FB, where 0 < alpha < Pi. Consider alpha an acute or obtuse angle and justify it. 2. Find at least one pair of perpendicular vectors, rationalize and demonstrate 3. Find at least one pair of parallel vectors, reasoning and demonstrating that their solutions must not be the same or negated. And there must be a beginning and an end of the vector. is the point set
Let the solid form in the orthogonal coordinate system xyz be surrounded by points A, B, C, D and F, where A = (-4, 1, 3), B = (6, 1, 1), C = ( 9, 5, 0), D = (4, 5, 1), E = (5, 3, 8) and F is the midpoint of the line BD as shown in Figure 1. Find the value of alpha where alpha is the angle between the vectors. FA and FB, where 0 < alpha < Pi. Consider alpha an acute or obtuse angle and justify it. 2. Find at least one pair of perpendicular vectors, rationalize and demonstrate 3. Find at least one pair of parallel vectors, reasoning and demonstrating that their solutions must not be the same or negated. And there must be a beginning and an end of the vector. is the point set
Let the solid form in the orthogonal coordinate system xyz be surrounded by points A, B, C, D and F, where A = (-4, 1, 3), B = (6, 1, 1), C = ( 9, 5, 0), D = (4, 5, 1), E = (5, 3, 8) and F is the midpoint of the line BD as shown in Figure 1. Find the value of alpha where alpha is the angle between the vectors. FA and FB, where 0 < alpha < Pi. Consider alpha an acute or obtuse angle and justify it. 2. Find at least one pair of perpendicular vectors, rationalize and demonstrate 3. Find at least one pair of parallel vectors, reasoning and demonstrating that their solutions must not be the same or negated. And there must be a beginning and an end of the vector. is the point set
Let the solid form in the orthogonal coordinate system xyz be surrounded by points A, B, C, D and F, where A = (-4, 1, 3), B = (6, 1, 1), C = ( 9, 5, 0), D = (4, 5, 1), E = (5, 3, 8) and F is the midpoint of the line BD as shown in Figure
1. Find the value of alpha where alpha is the angle between the vectors. FA and FB, where 0 < alpha < Pi. Consider alpha an acute or obtuse angle and justify it.
2. Find at least one pair of perpendicular vectors, rationalize and demonstrate
3. Find at least one pair of parallel vectors, reasoning and demonstrating that their solutions must not be the same or negated. And there must be a beginning and an end of the vector. is the point set
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A
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
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