I need help with theses questions

4. Select the correct answer for each of the following (no explanations needed): (a) Line L given by the equations (i) is parallel to the plane given by x- y+ z-5=0 (ii) is perpendicular to the plane given by x- y+ z+5=0 (iii) is perpendicular to the plane given by 6x-3y -12z-5=0 (iv) intersects the ZOY plane at the point A(0,4,5) . (b) If a system of 3 equations in 3 variables has exactly 2 solutions, then (1) This system is homogeneous (ii) This system is inconsistent (iii) This system is linear (iv) This system is nonlinear (c) If a and b are parallel vectors, and | |al = 5: |b| =4, then (i) a -b =1 (ii) a - b| =3 (iii) la + b =9 (iv) |a-b/=1/a+0/1 (d) If vector v = ax(b + a) , and vectors a and b are noncollinear vectors from R', then (i) Vectors a, b, and v are coplanar (ii) Vectors a, b, and v are collinear (iii) Vectors a, b, and v span R (iv) |w/=1all-10+ all