SOLUTION: The points A and B have position vectors, relative to the origin O, given by
OA = -i + 3j + 5k and OB = 3i - j - 4k
The line l passes through 4 and is parallel to OB. The point N
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-> SOLUTION: The points A and B have position vectors, relative to the origin O, given by
OA = -i + 3j + 5k and OB = 3i - j - 4k
The line l passes through 4 and is parallel to OB. The point N
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Question 1207396: The points A and B have position vectors, relative to the origin O, given by
OA = -i + 3j + 5k and OB = 3i - j - 4k
The line l passes through 4 and is parallel to OB. The point N is the foot of the perpendicular from B to l
i)State a vector equation for the line l.
ii) Find the position vector of N and show that BN = 3.
(iii) Find the equation of the plane containing A, B and N, giving your answer in the form
ax + by + cz = d. Answer by ikleyn(52792) (Show Source):