Category Archives: Linear Algebra

Deriving formula for shortest distance between a point and a plane

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What happens when you do a dot product with a unit vector?

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Why equation of the plane is given by a(x-x0)+b(y-y0)+c(z-z0)=0

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IB Hl Question on 3 planes intersecting in a line and its equation

Find the value of a real parameter for which the planes and and intersect. Find the equation of the line of intersection

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How to find rotation matrix .

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Angle between line and plane

The plane has the Cartesian equation . The line L has a vector equation . The acute angle between the line L and the plane is . Find the possible values of .

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Finding closest points on a sphere from a point outside the sphere using Lagrange Multiplier

https://www.geogebra.org/3d/fduqxagd

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Lagrange Multiplier: Extreme values of a paraboloid on a unit circle

https://www.geogebra.org/3d/ewucrqde

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2nd Derivative test in Multivariable Calculus

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How to find intersection between 3D objects. Example cylinder and plane

Given cylinder

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