Spring 2022Show your work!2.Linear Algebra Tutorial2(a)Circle all vector(s)that are parallel to the xz plane.(0,5,-1)(3,0,7)(4,1,-2)5,7,0)(4,0,0)(b)A line is parallel to the xz plane.If we measure its rise in the z direction corresponding to a run in thex direction we obtain a slope of 7.Find a direction vector for this line using a run of 1 unit.(c)A second line is parallel to the yz plane.If we measure its rise in the z direction corresponding to arun in the y direction we obtain a slope of -3.Find a direction vector for this line using a run of 1unit.(b)(c)(d)Find a general equation for the plane that is parallel to each of the direction vectors from andand that passes through the point (2,-1,27).(e)Solve the equation of the plane for z so that z is a function of x and y.(f)Rewrite the equation for the plane in the form z k a(x-2)+b(y 1).Hint:you alreadyknow the values for the constants a and b.You can determine the value of k by either rearrangingyour equation from (e)or (more easily)by substituting the point (2,-1,27)into the equation form.