K3. Write the scalar equation of the plane with normal vector [1, 2, 1] and passing through the point (3, 2, 1). A x+2y+z+8-0 B x+2y+z-8-0 с 3x+2y+z-8-0 D 3x+2y+z+8=0
K5. The equation of a plane is [x. y. 2] = [-1,-1, 1] + s[1, 0, 1] + [[0, 1, 2]. Find the z-intercept of the plane. Ans:
K4. The parametric equations of a plane are y=1+ |z=1-s Find a scalar equation of the plane. A x-y+z-2-0 B x-y+z+2=0 C x+y+z=0 D x-y+z=0 Ans:
K6. In three-space, find the distance between the skew lines: [x. y. 2] = [1, -1, 1] + [3, 0, 4] and [x. y. z]= [1, 0, 1] + [3, 0, -1]. Express your answer to two decimals.
