VECTORS (Essentials Questions)

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I'm having trouble with a few vector questions from the Essential's textbook (bolded are the questions I can't do).  Any help would be great 

Exercise 2B

Q8. The vectors and are linearly dependent.  Find the value of .

Q30. A light plane takes off (from a point which will be considered as the origin) so that its position after a short period of time is given by ₁ where is a unit vector in the east direction, is a unit vector in the north direction and measurements are in kilometres.

a) Find the distance of the plane from the origin
b) The position of a second light aircraft at the same time is given by ₂ Find:
i - ₁₂
ii - the distance between the two aircraft
c) Give a unit vector which would describe the direction in which the first aircraft must fly to pass over the origin at a height of 900m.

Q32. A ship leaves a port and sails on a bearing of NE for 100 km to a point . and are vectors in the east and north directions respectively.
a) Find the position vector of point .
b) is a point on the shore with position vector Find:
i -
ii - the bearing of from

(Sorry didn't know how to write the arrow above the vectors)

Thanks!

[Mao]

solving and simultaneously, you get

[Mao]

30 c)
initial position: (1.5, 2, 0.9)
final position: (0, 0, 0.9)

direction it must fly: (-1.5, -2, 0)

unit vector: