How do you calculate the cross product of two vectors?

To calculate the cross product of two vectors you take the coordinates of vector 1 which are (x1,y1,z1) and the coordinates of vector 2 which are (x2,y2,z2) and put these coordinates into a 3x3 matrix. On the first row of the matrix you have i, j, k; on the second row of the matrix you have x1, y1, z1; and on the bottom row x2, y2, z2. You then calculate the determinant of this matrix.

To do this you multiply i by (y1*z2 - z1*y2) then subtract j multiplied by (x1*z3 - x3*z1) and add k multiplied by (x1*y2 - x2*y1), the resultant vector is the cross product of the original vectors.

Related Further Mathematics A Level answers

All answers ▸

Given that p≥ -1 , prove by induction that, for all integers n≥1 , (1+p)^k ≥ 1+k*p.


Integrate xsin(x).


How does proof by induction work?


By Differentiating from first principles, find the gradient of the curve f(x) = x^2 at the point where x = 2


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences