Determine if these two vectors are perpendicular. a=[1,4,8], b=[0,6,-3]

Start by determining dot product. a.b = 1x0 + 4x6 + 8*-3 = 0as a.b = |a||b|cos(theta)cos(theta) = 0therefore theta = 90 degTherefore vectors are perpendicular

PD

Related Further Mathematics A Level answers

All answers ▸

Find all square roots of the number 3 + 4i.


A particle is moving in a straight line with simple harmonic motion. The period of the motion is (3pi/5)seconds and the amplitude is 0.4metres. Calculate the maximum speed of the particle.


Find the general solution to the differential equation y'' + 4y' + 3y = 6e^(2x) [where y' is dy/dx and y'' is d^2 y/ dx^2]


Find roots 'a' and 'b' of the quadratic equation 2(x^2) + 6x + 7 = 0