Given the following two vectors in R3: calculate the cross product X × Y X = 8i - 2j + 13k Y = 3i + 5j - k
Write the coefficients as a matrix
i
j
k
x1
x2
x3
y1
y2
y3
→
i
j
k
8
-2
13
3
5
-1
Evaluate Cross Product Formula
X × Y = (x2y3 - x3y2)i + (x3y1 - x1y3)j + (x1y2 - x2y1)k X × Y = (-2 x -1 - 13 x 5)i + (13 x 3 - 8 x -1)j + (8 x 5 - -2 x 3)k X × Y = (2 - 65)i + (39 - -8)j + (40 - -6)k X × Y = - 63i + 47j + 46k
Parallel Check:
Since X × Y <> 0: X and Y are not parallel
X × Y = - 63i + 47j + 46k Since X × Y <> 0: X and Y are not parallel
What is the Answer?
X × Y = - 63i + 47j + 46k Since X × Y <> 0: X and Y are not parallel
How does the Cross Product Calculator work?
Free Cross Product Calculator - Given two vectors A and B in R3, this calculates the cross product A × B as well as determine if the two vectors are parallel This calculator has 6 inputs.
What 1 formula is used for the Cross Product Calculator?