Recent content by Niamh1

Doesn't really help me to be honest.

Prove the following I literally have no idea where to start or what to do.

Let $a, b \in \Bbb R$ and $u, v \in \Bbb R^2$, with $u = (0, 1)$ and $v = (1, 0)$. Show that every vector in $\Bbb R^2$ is of the form $au + bv$. Under what conditions is this true for general vectors $u = (u_1, u_2)$ and $v = (v_1, v_2)$? No idea where to begin. Would appreciate any help.

Hello, could someone please help me with this question? I don't even know where to begin. Given vectors a = (2, x, 0), b = (1, 0, −1) and c = (5, −9, 3), and let P(2, 1, −1) be a point. Find the value of x in a such that the angle between a and b is π/4, then find the area of parallelogram...