Recent content by aaron27

Understood, thank you very much :smile:

a=a1(alpha) + a2(beta) + a3(gamma) b=b1(alpha) + b2(beta) + b3(gamma) c=c1(alpha) + c2(beta) + c3(gamma) How to show that a.(bxc) = λ (alpha) .(beta x gamma) and find out λ?

Three vectors are expressed in terms of other three vectors in the form of a=a1α + a2β + a3γ b=b1α + b2β + b3γ c=c1α + c2β + c3γ How to show that a.(bxc) = λ α.(βxγ) and find out λ? I knew the first part where we carry out dot and product rule for vectors a.(bxc), but the other...

Sorry, my mistake.:smile: So if I am looking for direction vector, I just get this (-3π, 2, 1)/(magnitude of this vector (-3π, 2, 1)) where (-3π, 2, 1)=the velocity vector?

By differentiating them with respect to t, I should get the velocity vector (x,y,z) = (3 π cos π t, 2t , 1). Then substitute t = 1, (x,y,z) = (-3π, 2, 1). This is my velocity vector. So how I get the director of the vector when t=1?

Suppose that an object is moving in a space V, so that its position at time t is given by r=(x,y,z)= (3sin πt, t^2, 1+t) How to find the direction of the vector along which the cat is moving at t = 1? I have no idea where to find out the direction of the vector along which the object is...