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
Related Maths A Level answers
All answers ▸At each point P of a curve for which x > 0 the tangent cuts the y-axis at T, and N is the foot of the perpendicular from P to the y-axis. If T is always 1 unit below N and the curve passes through the point (1,0), find the Cartesian equation of the curve.
How to perform integration by substitution. (e.g. Find the integral of (2x)/((4+(3(x^2)))^2)) (10 marks)
Find the gradient of the tangent and the normal to the curve f(x)= 4x^3 - 7x - 10 at the point (2, 8)
Find the tangent and normal to the curve y=(4-x)(x+2) at the point (2, 8)