cross

cross(x, y) ×(x,y)

Compute the cross product of two 3-vectors.

Examples

In the Julia programming language, the cross(x, y) function is used to compute the cross product of two 3-vectors x and y.

julia> cross([1, 0, 0], [0, 1, 0])
3-element Array{Int64,1}:
 0
 0
 1

Here are some common examples of how the cross function can be used:

  1. Compute the cross product of two 3D vectors:

    julia> v1 = [1, 2, 3];
julia> v2 = [4, 5, 6];
julia> cross(v1, v2)
3-element Array{Int64,1}:
-3
 6
-3

    This example calculates the cross product of v1 and v2, resulting in a new 3-vector.

  2. Calculate the surface normal of a triangle: 
    julia> v1 = [1, 0, 0];
julia> v2 = [0, 1, 0];
julia> normal = cross(v1, v2);
julia> normalize(normal)
3-element Array{Float64,1}:
0.0
0.0
1.0

    Here, the cross function is used to find the surface normal of a triangle defined by v1 and v2. The normalize function is then applied to obtain a unit normal vector.

Common mistake example:

julia> cross([1, 2, 3, 4], [5, 6, 7])
ERROR: MethodError: no method matching cross(::Array{Int64,1}, ::Array{Int64,1})

In this example, the input vectors have dimensions that are incompatible for computing the cross product. The cross function expects two 3-vectors, so ensure that the input vectors have the correct dimensions to avoid such errors.

See Also

abs2, beta, binomial, ceil, cell, cross, ctranspose, ctranspose!, cummin, cumprod, cumprod!, cumsum, cumsum!, cumsum_kbn, div, divrem, eigfact, eigfact!, eigmin, eps, erf, erfc, erfcinv, erfcx, erfi, erfinv, exp, exp10, exp2, expm1, exponent, factor, factorial, factorize, floor, gcd, invmod, log, log10, log1p, log2, logspace, max, min, mod, mod1, modf, next, nextpow, nextprod, num, primes, primesmask, prod, realmin, sqrt, sum!, sumabs, sumabs!, sumabs2, sumabs2!,

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