Find the vector equation of the line which passes through the point P(2,-2,0) and is orthogonal to both of the lines below. Hint: A vector is orthogonal to a line if and only if it's orthogonal to the...

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Find the vector equation of the line which passes through the point P(2,-2,0) and is orthogonal to both of the lines below. Hint: A vector is orthogonal to a line if and only if it's orthogonal to the line's direction vector. Line 1 = (4,3,-1)+t(3,1,0)Line 2 = (1,3,2)+t(-1,-1,1)

Answered Same DayDec 21, 2021

Answer To: Find the vector equation of the line which passes through the point P(2,-2,0) and is orthogonal to...

David answered on Dec 21 2021
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Vector equation of a line L = a + tb ; a = position vector of a point on line L
b = direction vector of line L
given a = (2,-2,0) = 2i – 2j
vector equation of line L1 =p1 + td1 = (4,3,-1) + t(3,1,0) ;
vector...
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