Answer to Question #83337 in Analytic Geometry for Joshua

Question

(1)The scalar product of vectors a and b, where θ is the angle between them, is ......

(2)Determine the gradient of a straight line passing through the point (1, 6) and (-3, -3).

(3)Given a circle with centre at the origin, which passes through the point ( 2,-1). Find its equation.

(4)Find the unit vector in the direction of vector b = 3i + 4j -5k

(5)A line AB passes through the point P (3, -2) with gradient дљН 2. Determine the equation of the line CD through P perpendicular to AB

(6)Determine the equation of a straight line passing through the point (1, 0) and (2, -3).

(7)Determine the scalar product of vectors 2i+3j−5k2i+3j−5k and 4i+j−6k

(8)Find the equation of the line which is parallel to the line 2y + 3x = 3 and passes through the midpoint of (-2,3) and (4, 5).

(9)Find the centre and radius of each of the circle x2+y2 дљН2xдљН6y=15

(10)Determine the direction cosines [l, m, n] of the vector 3i -2 j +6k