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What is the unit normal of the triangle with vertices (-1, 0, 0), (1, 0, 0), and (0, 1, 0), specified in counter-clockwise order?
Check the boxes corresponding to pairs of vectors which are perpendicular
(1, 1, 0) and (0, 0, 1)
(-1, 1, 0) and (1, -1, 0)
(-2, 1, 0) and (1, 2, 0)
(1, 2, 1) and (-3, 1, 1)
What is the parallel projection of the vector (1, 1, 3) onto the vector (1, 1, 1)?
How many degrees is PI/3 radians?
Complete the following matrix multiplication
[ a b ] [ x ] =
[ c d ] [ y ]
By what angle does the matrix
R = (sqrt(2)/2) [ 1 -1 ]
[ 1 1 ]
rotate a vector in 2D?
Provide a 3D vector which is in the gradient of the volumetric function
f(x, y, z) = e^(-(x^2 + y^2 + z^2))
at a particular point (x, y, z)
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