Let V = (2,-3,-2) and W =(-3,4,-1) be two vectors of the 3-space (IR') with the...

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Let V = (2,-3,-2) and W =(-3,4,-1) be two vectors of the 3-space (IR') with the same 3. initial point. (a) Show that, by using the cross product, the vectors V and W are not parallel. (b) Find the vector component of W orthogonal to V. (c) Find the equation of the plane P with normal V and that passes through the point A = (0, 1,-5). (d) Find the distance between the plane P and the point B (-3,-1,-2). Justify all your answers. Let V = (2,-3,-2) and W =(-3,4,-1) be two vectors of the 3-space (IR') with the same 3. initial point. (a) Show that, by using the cross product, the vectors V and W are not parallel. (b) Find the vector component of W orthogonal to V. (c) Find the equation of the plane P with normal V and that passes through the point A = (0, 1,-5). (d) Find the distance between the plane P and the point B (-3,-1,-2). Justify all your answers.