Questions from General Calculus

Q: (a). Find parametric equations for the line through (2

(a). Find parametric equations for the line through (2, 4, 6) that is perpendicular to the plane x - y + 3z = 7 (b). In what points does this line intersect the coordinate planes?

Q: Find a vector equation for the line segment from (6,

Find a vector equation for the line segment from (6, -1, 9) to (7, 6, 0).

Q: (a) The curve y = x / (1 +

(a) The curve y = x / (1 + x2) is called a serpentine. Find an equation of the tangent line to this curve at the point (3, 0.3). (b) Illustrate part (a) by graphing the curve and the tangent line on t...

Q: Find parametric equations for the line segment from (-2, 18

Find parametric equations for the line segment from (-2, 18, 31) to (11, -4, 48).

Q: Determine whether the lines L1 and L2 are parallel, skew,

Determine whether the lines L1 and L2 are parallel, skew, or intersecting. If they intersect, find the point of intersection. L1: x = 3 + 2t, y = 4 - t, z = 1 + 3t L2: x = 1 + 4s, y = 3 - 2s, z = 4 +...

Q: Determine whether the lines L1 and L2 are parallel, skew,

Determine whether the lines L1 and L2 are parallel, skew, or intersecting. If they intersect, find the point of intersection.

Q: Determine whether the lines L1 and L2 are parallel, skew,

Determine whether the lines L1 and L2 are parallel, skew, or intersecting. If they intersect, find the point of intersection.

Q: Find an equation of the plane. The plane through the

Find an equation of the plane. The plane through the origin and perpendicular to the vector 1, −2, 5

Q: Find an equation of the plane. The plane through the

Find an equation of the plane. The plane through the point (5, 3, 5) and with normal vector 2i + j – k.

Q: Find an equation of the plane. The plane through the

Find an equation of the plane. The plane through the point (-1, 1 2 , 3) and with normal vector i + 4j + k