Find symmetric equations of a line that contains the point (13,3,7) and the origin. Demonstrate how to check (13,3,7) and (0,0,0) that they fit the equation of the line.

Find the equation for the plane through the point Po = (2,10,7) and normal to the vector n= 9i + 2j + 2k. Using a coefficient of 9 for x, the equation for the plane through the point Po = (2,10,7) and normal to n= 9i + 2j + 2k is |.

Write the vector equation of the line through (9,-1) and perpendicular to (x,y) = (1,-2) + t(6,-7)

4(2). Please show your calculations & explain steps by steps. Determines the vector equation: A) from the line in R2 that goes through the points (3, -6) and (0, -1). B) of the plan in R3 that contains the points (-6, 1, 0), (4, -3, 5) ret (-7, -2, -4).