Answer to Question #83335 in Analytic Geometry for Joshua

Question

(1) If r = 2i дљН 4j, s = 2i + 6j, t = 3i дус j, find 2r-t+s

(2)Find the equation of the tangent to the curve y=x3−x2y=x3−x2 at the point (1, 0).

(3)Find the area of a triangle with vertices (3, 1), (0, 0) and (1, 2).

(4)If the point C(2,−1) be the centre of a circle that passes through the point A(-2,2) find the equation of the cycle

(5)If r = 2i дљН 4j, s = 2i + 6j, t = 3i дус j, find magnitude of the vector 2r-t+s

(6)P, Q and R are points (1, -6), (3, 6) and (5, 2) respectively. Determine the length of the line joining the mid point of PQ and QR

(7)Find the equation of a straight line passing through the points (2, 3) and (-2, 5).

(8)Let Z1=6iдљН4j+4kZ1=6iдљН4j+4k, Z2=i+6j−kZ2=i+6j−k, find magnitude of th

(9)Find the equation of the normal to the curve y=x3−x2y=x3−x2 at the point (1, 1