An airplane is located at position (3, 4, 5) at and travelling with velocity 400i + 500j – k meters per hour. The pilot spots an airpo position (23, 29, 0). (a) At what time will the plane pass d over the airport? (Assume that the e- flat and that the vector k points straig (b) How high above the airport will the

Q: Given the point A(2,1,-3) and B(6,-1,-5) write the vector equation and the parametric equations of…

A: Once we get vector form of the equation we can easily write the parametric form of equation of line.

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

A:

Q: Given the points M[0.1, -0.2, -0. 1), N(-0.2, 0.1, 0.3), and P(0.4, 0, 0.1), find: (a) the vector…

A: This question can be solved using the concept of finding the vector joining two points and dot…

Q: If A = 4a, - 6a, + a, and B = 2a, + 5a,, find: (a) A B +2|B (b) a unit vector perpendicular to both…

A:

Q: The parametric vector v=(6-t)i+(9t+8)j represents a straight line. Find the equation of this line

A:

Q: what is the graph of vector B = C - A??

A: First we mark A and C vectors then we find -C vector  The resultant of A and -C will be B as B = A -…

Q: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

Q: Find the vector and parametric equations of the line through the points A = (2,4,7) and B =…

A:

Q: Determine the direction in which f = x²y√z has maximum rate of increase from P = (8,3,8). Express…

A:

Q: A=(2,3,1) and G=(10,7,5) Write a parametric equation to describe the movement from A and G?

A:

Q: How long is the shadow cast by a 540-foot tower when the sun's rays follow the vector [6,10,-27]?…

A:

Q: rite the equation of the line passing through P with direction vector d in vector form and…

A:

Q: Write the parametric equations of the line through the point (1,2,3) parallel to the vector a =.…

A:

Q: Find the direction of v:v =(7,-2)

A: Given: v→=7,-2

Q: Vector v = RS has points R(-2, 11) and S(-14, 8). What are the magnitude and direction of RS? Round…

A: Let a point P( x1 , y1 ) and other point Q( x2 , y2 ) Then PQ = ( x2 - x1 )i + ( y2 - y1 )j | PQ | =…

Q: (-34,-9)and terminal pointQ-14 Given a vectorv with initial potnt the unit vectorstand i.

A:

Q: -1' -10] 13 2. – S = 1 4 2 21

A:

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.