Zadanie 10d
A point N on L₂ has position vector (−1, 2, 0) + μ(3, −2, 1). Find in terms of μ.
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A point N on L₂ has position vector (−1, 2, 0) + μ(3, −2, 1). Find in terms of μ.
N is the point of L₂ nearest to P. Find its coordinates.
Let N be the point of L₂ nearest to P. Find a Cartesian equation of the plane through O,P,N.
Find (i) the maximum displacement; (ii) the maximum velocity, over t≥0.
Find (i) the minimum value of s(t) for t≥0; (ii) s(4.6).
Hence find the total distance travelled during the first 4.6 seconds.
State the first positive time T at which the stage crosses the reference mark.
The stage crosses the reference mark at T,2T,3T,… . Let uₙ be its greatest distance from the mark during (n−1)T<t<nT. These distances form a geometric sequence. Find (i) its common ratio; (ii) the total distance travelled if the model continues indefinitely.
Show that w=2+2i.
Find (i) |w|; (ii) arg w.