Search results
Results From The WOW.Com Content Network
The direction of the force between 3 point charges is always along the line connecting the two charges. If all three charges have the same sign, the force will be repulsive and if two charges have the same sign and one has the opposite sign, the force will be attractive. 3. Can Coulomb's Law be used to calculate the force between charged ...
An implicit equation for the plane passing through the point (-2,5,-5) that is perpendicular to the line L(t) = <5+2t,3,4> is ...? Homework Equations a(x-x 0) + b(y-y 0) + c(z-z 0) = 0 The Attempt at a Solution So in order to find the equation of the plane I would need a normal vector and I got that using the following steps:
To determine if three points lie on a straight line in Calc. 3, you can use the slope formula or the determinant method. If the slope between any two of the points is equal, then the points lie on a straight line. Alternatively, you can calculate the determinant of the matrix formed by the coordinates of the points.
To find the slope of a line, we use the formula y = mx + b, where m is the slope. In this case, the slope is 2/3. Therefore, any line with a slope of 2/3 will be parallel to 2x-3y=1. 5. What is the equation of the line passing through (2, -1) and parallel to 2x-3y=1? The equation of the line passing through (2, -1) and parallel to 2x-3y=1 can ...
To plot a curve with given three points, you can use the slope-intercept form of a line equation, y=mx+b, where m is the slope and b is the y-intercept. First, find the slope using the formula (y2-y1)/ (x2-x1), where (x1,y1) and (x2,y2) are two of the given points. Then, substitute the slope and one of the points into the equation to find the ...
Yes, a plane can be uniquely determined by a point and a line as long as the line is not parallel to the plane. If the line is parallel to the plane, then there are infinite planes that contain the line and the given point. What are the applications of finding the equation of a plane given a point and a line in 3D?
So if we work out the equation of the line that goes through the point (1, 3, 6) which is perpendicular to the plane, then we can use it to find where it intersects the plane. Notice we already have the normal vector of the plane: (1, -1, 1), and so the line is l = (1, -1, 1)t + (1, 3, 6), where t takes on all real values.
Perpendicular line to the Surface. τheory. May 13, 2012. Line Perpendicular Surface. In summary, a vector parametric equation for the line perpendicular to the surface z=x^2+y^2 at the point where x=-1 and y=2 is L (t) = <-1,2,0> + t<-2,4,-1>. However, when x=-1 and y=2, z is not equal to zero, which was a mistake in the original attempt.
For a infinite line of charge a distance R away, the electric field produced is E = 2kλ / R. For just a point charge some distance r away, the electric field is E = kq / r 2. The Attempt at a Solution I drew a picture in the x and y coordinate plane with the line of charge at x = -1, the point charge at (2, 3), and the analyze point at (3, 2.5).
4. What is the formula for finding the center of a circle given a tangent line and a point? The formula for finding the center of a circle is to draw a line perpendicular to the tangent line at the given point, and then find the midpoint of this perpendicular line. This midpoint will be the center of the circle. 5.