Category Archives: Vector

Deriving formula for shortest distance between a point and a plane

Posted on May 5, 2024 by Sumant Sumant
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Thinking of distance between skewed line using parallel planes and projection on unit vector

Posted on April 22, 2024 by Sumant Sumant
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Why equation of the plane is given by a(x-x0)+b(y-y0)+c(z-z0)=0

Posted on April 21, 2024 by Sumant Sumant
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IB Hl Question on 3 planes intersecting in a line and its equation

Posted on April 17, 2024 by Sumant Sumant

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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Angle between line and plane

Posted on April 6, 2024 by Sumant Sumant

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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Intersection of Cylinder and Plane (space curve)

Posted on February 19, 2024 by Sumant Sumant
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Length of helix defined by vector function

Posted on February 18, 2024 by Sumant Sumant
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Thinking of line vs line segment

Posted on February 18, 2024 by Sumant Sumant
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Why dot product a.b is defined as |a||b| cos(theta) ?

Posted on January 26, 2024 by Sumant Sumant
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Volume of a triangular pyramid or tetrahedron

Posted on October 17, 2023 by Sumant Sumant

A triangular pyramid ABCD is given. If AB = 2i+3j-2k, BD = i-2j+4k and DC = -2i+j+5k. Find the volume of the pyramid.

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