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: Consider the following scenario. A pilot is steering a plane in the direction N 45° W at an…

A: We need to find the true course and ground speed.

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: QUESTION 2 A train is travelling on a straight railway line from town A to B and is moving according…

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: Find the vector having length v=12 and direction theta 60 degrees

A:

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

A:

Q: sider the following scenario. ilot is steering a plane in the direction N 45° W at an air-speed…

A: True course and ground speed

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

A:

Q: 3. (7-9) A vector has an initial point at (1, –1) and an endpoint at (8, 6). Write the vector in…

A: The given start and endpoints of vector are (1,-1) and (8,6) We know that the magnitude of a vector…

Q: 1. Given the points P=(3,-1,-2) and Q=(2, 4, 0) answer or do the following: a) Find i = PQ :_ b)…

A: We can write the points P and Q as P→=3i-j-2k and Q→=2i+4j-0k. We have to find the vector v where…

Q: A pilot is heading his plane N 76°W at an airspeed of 950km/h, while wind is blowing in the…

A: Given: A pilot is heading his plane N 76 degree W at an airspeed of 950 km/hr, while wind is blowing…

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

A:

Q: Write parametric equations of the line L through the point P: (2, 0, -3) and parallel to the vector…

A:

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

A: Given: v→=7,-2

Q: Find the unit vector in the direction of

A: Unit vector in the direction <-2, -5> Unit vector have magnitude 1

Q: find the length and direction of (u x v) and (v x u) u = 21 -2j - k, v =i - k

A: Determine the cross product.…

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: 28 74.6°

A: Given query is to find the vector components.

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.