Posts tagged cross product
Finding the cross product of two vectors
Finding the cross product of two vectors

To take the cross product of two vectors (a1,a2,a3) and (b1,b2,b3), we’ll set up a 3x3 matrix with i, j, and k across the first row, the components from vector a across the second row, and the components from vector b across the third row. Then we’ll evaluate the 3x3 matrix by breaking it down into determinants.

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Finding the equation of a plane
Finding the equation of a plane

Given three points that lie in a plane, we can find the equation of the plane passing through those three points. We’ll use a cross product to find the slope in the x, y, and z directions, and then plug those slopes and the three points into the formula for the equation of the plane.

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