A spring gun located at the origin O = (0,0,0) fires a ball at time t = 0 at an angle of 30°. The ball hits the floor at P = (V2, 1,0). A light source located at L (0,2,0) casts a shadow of the ball onto a wall behind it. The wall is given by the cquation 2y - V2r = -4. (a) Find a vector parametrization for the position of the ball. (b) Find a vector parametrization for the position of the shadow of the ball.

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

A:

Q: Find a vector equation with parameter t for the line through the point (7,0, –7) and parallel to the…

A: We have to find a vector equation with parameter t.

Q: A particle moves in two dimensional space where i and į are unit vectors in the x and y directions…

A: given  r→=6t-4t2i^+2t j^ a) write down the particle's velocity vector in component form. ii) find…

Q: Find the velocity vector v(t), given the acceleration vector a(t) = (3e¹, (Use symbolic notation and…

A: Formula for the acceleration is We have and the initial velocity

Q: Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle 0x which V' makes with…

A: We have to solve given Questions.

Q: Vector A = 6i + 2j - 3k Find the

A: Given: Vector A=6i+2j-3k  To find: Scalar component of A perpendicular to the x-axis.

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: (14) The straight line L passes through the origin O and is in the direction i+mj. The straight line…

A:

Q: A missile is fired from ground level with an initial velocity of (0) - (1000, 1400, 368) measured in…

A:

Q: A particle P moving a constant velocity i+j+ k passes through a point with position vector 3i – 7j -…

A:

Q: Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle 0x which V' makes with…

A:

Q: The point A has position vector i+5k and the line l1 has vector equation r=7i+4j–2k+ a(5i+3j+k). (a)…

A: The position vector of point A is given by i+5k. The line l1 has vector equation…

Q: y =-x (b) Use it to project the vector v =

A: Given

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.