Multiple Choice: [10 Marks] 1. A line passes through the points A (7, -4) 3: B (-5, -2). Find a vector equation of the line. 3) [my] = [24] + t[5,2] b) [x41] = [24] + tI2.6] c) [any] = [5,2] + t[12, 2] d) [x.y] = [12,2] + t[7,4] A line has slope 3 and x~interoept 5. Find a vector equation ofthe line. C) [DC-y] = [51 01+ t[_1r 3] d) [x-yl = [13_3] + t[0, 5] Write the scalar equation of the plane with normal vector 5 = [3, 2, 1] and passing through the point (4, 5, 6). a) 3x+2y+z28=0 b)4x+5y+6z+28=0 c) 3x+2y+z+28=0 d)4x+5y+6zm28=0 A plane passes through the origin and has the direction vectors [-1, -2, -3] and [1, 3, 2]. Find a scalar equation of the plane. a) x2y3z=0 b)13x+y52=0 c) x+3y22=0 d) 5y+z-'-' -' Search documents and file n. -..1_ Is a) xy+z2=0 b)x+y+z=0 c) xy+z=0 d)xy+z+2=0