UCSF 137 Lecture 5: UCSF 137 - Lecture 5 (3)

Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (1, 2, 0) and perpendicular to both i + j and j + k (x(t), y(t), z(t)) = ( ) The symmetric equations are given by -(x - 1) = y - 2 = z. x + 1 = -(y + 2), z = 0. x - 1 = y - 2 = -z. x + 1 = -(y + 2) = z. x - 1 = -(y - 2) = z. Find symmetric equations for the line that passes through the point (3, -5, 7) and is parallel to the vector -1, 2, -4 -(x + 3) = 2(y - 5) = -4(z + 7). -(x - 3) = 2(y + 5) = -4(z - 7). x - 3/-1 = y + 5/2 = z - 7/-4. x + 3/-1 = y - 5/2 = z + 7/-4. x + 3 = y + 5/2 = z - 7/-4. Find the points in which the required line in part (a) intersects the coordinate planes. point of intersection with xy-plane point of intersection with yz-plane point of intersection with xz-plane Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (1, 2, 0) and perpendicular to both i + j and j + k (x(t), y(t), z(t)) = The symmetric equations are given by -(x - 1) = y - 2 = z. x + 1 = -(y + 2), z = 0. x - 1 = y - 2 = -z. x + 1 = -(y + 2) = z. x - 1 = -(y - 2) = z.