How do you calculate the angle between two vectors?

The formula axb = |a||b|sinθ is given in the formula bookletTherefore, θ, the angle between both vectors a and b is equal to sin-1 ((axb)/(|a||b|))Remember, axb can be found by multiplying a and b together as matrices (if a reminder is needed on how to do this, I'll show you on a whiteboard); and |a| can be found by square rooting all the components of a squared (e.g. square root of ai2+ aj2 + ak2 if the vector is three dimentional).

GT
Answered by Gabriel Thomas N. Maths tutor

5357 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do I express y=acosx+bsinx in the form y=Rcos(x-c)?


Express x^2+3x+2 in the form (x+p)^2+q, where p and q are rational numbers.


The polynomial p(x) is given by p(x)=x^3 - 5x^2 - 8x + 48. Given (x+3) is a factor of p(x), express p(x) as a product of 3 linear factors.


Find the surface area of a hand held fan (modeled with negligible depth) with radius 8 cm and a 60 degree angle at the centre


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning