r(1) = <2 +?- 21, -2 – 3,7 +1>, 1 > 0. (a) Find the time to > 0 at which the particle crosses the plane x +y 0. (b) At some time t > 0, the velocity of the particle has the same direction as the vector
r(1) = <2 +?- 21, -2 – 3,7 +1>, 1 > 0. (a) Find the time to > 0 at which the particle crosses the plane x +y 0. (b) At some time t > 0, the velocity of the particle has the same direction as the vector
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 6AEXP
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A particle starts moving at time t = 0 and its position at time t is given by the r(t) = < 2t3 + t2 − 2t, −2t3 − 3, t2 + t >, t ≥ 0. |
(a) | Find the time t0 > 0 at which the particle crosses the plane x + y = 0. |
(b) | At some time t1 > 0, the velocity of the particle has the same direction as the vector u = < 1, −3, 4 >. Find t1. |
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