Vector Application Problems

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Presentation transcript:

Vector Application Problems Unit 2 - Vectors

Vector Equations

Example 1 For the line that passes through (-6, 3) with direction , write down the corresponding: vector equation parametric equations Cartesian equation

Similarly, for 3-D Vectors…

Example 2 Find parametric equations of the line through A(2,-1,4) and B(-1,0,2)

Constant Velocity Applications

Example 3

Example 4 An object is initially at (5,10) and moves with velocity vector 3i – j metres per minute. Find: The position of the object at time t minutes (parametric equation) The speed of the object The position of the object at t=3 minutes The time when the object is due east of (0,0).

Example 5 A particle at P(x(t), y(t)) moves such that x(t) = 1 + 2t and y(t) = 2 -5t, t ≥ 0. The distance are in centimetres and t is in seconds. The initial position of P. Illustrate the initial part of the motion of P where t = 0,1,2,3 Find the velocity vector of P. Find the speed of P.