The points UUU, VVV, W W\,W and X X\,X have position vectors u=−2i+5j+8k\mathbf{u} = -2\mathbf{i} + 5\mathbf{j} + 8\mathbf{k}u=−2i+5j+8k, v=4i+2j−k\mathbf{v} = 4\mathbf{i} + 2\mathbf{j} - \mathbf{k}v=4i+2j−k, w=i+j+2k\mathbf{w} = \mathbf{i} + \mathbf{j} + 2\mathbf{k}w=i+j+2k, x=5i−j−4k\mathbf{x} = 5\mathbf{i} - \mathbf{j} - 4\mathbf{k}x=5i−j−4k
Show that UV⃗\vec{UV}UV is parallel to WX⃗\vec{WX}WX
