Line L has the equation (2,-2,0) + t (2,2,2) Sphere S is centered at origin (O) with equation x2+y2+z2=10.   1) Find the 2 points where L intersects S.   2) Find the angle between vectors OP and OQ. 3) Calculate the equation of the plane which contains O, P, and Q. Calculate the area of triangle with vertices O,P and Q

Q: c) The vector from the origin to the point A is given as (6, -2, -4), and the unit vector directed…

A: This is complicated problem.So I can do it in Advanced Mathematics.

Q: 5) Write the equation of the line through the points P(1,3,7) and Q(2,5,11) in: a) Vector form b)…

A: topic - equation of line through two points

Q: ulate the angle between the two vectors i +2j+ 3k and 3i - 2j+ k er your answer in the box below,…

A:

Q: Write a vector equation and parametric equations for each line. a) 3x - y = 7

A: note : as per company guidelines we support one question in one request. kindly repost next question…

Q: Suppose a triangle has the following vertices: v1 = (-2, 3, 6) v2 = (4, 5, -1) v3 = (3, 3, 0)…

A: As per the question we are given the following 3d coordinates of a triangle as : v1 = (-2, 3, 6) v2…

Q: Find a) vector A and magnitude of A, b) the angle between A and the y-axis, c) vector B.

A: According to Bartleby expert guidelines, I have solved only first 3 subparts of the given question.…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.