need some help with the question. Got very confused on that. Please make your handwriting clear Let T1 denote the plane parallel to the xz-plane through the point (1, 2, 3). Let T2 denote the planex - y + z = 1.(a) Show that these two planes intersect in a line, and find an equation for this line.(b) Find the value(s) of c, if any, such that the distance from the point (1, 1, 2c) to the line in part (a) is equalto 1.

To solve this problem first of we find the equation of the plane π1 and π2 in standard form and then…

Let T, denote the plane parallel to the xz-plane through the point (1, 2, 3). Let n2 denote the plane x - y + z = 1. (a) Show that these two planes intersect in a line, and find an equation for this line. (b) Find the value(s) of c, if any, such that the distance from the point (1, 1, 2c) to the line in part (a) is equal to 1.