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Find the vector equation of a line throu...

Find the vector equation of a line through the point (5, 2, -4) and which is parallel to the vector
`3 hat(i) + 2 hat(j) - 8hatk ?`

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Find the vector and cartesian equations of the line through the point (5,2,-4) and which is parallel to the vector 3hat(i)+2hat(j)-8hat(k) .

(A ) Find the vector and cartesian equations of the line through the point (5,2,-4) and which is parallel to the vector 3 hat(i) + 2 hat(j) - 8 hat(k) . (b) Find the equation of a line passing through the point P(2, -1, 3) and perpendicular to the lines : vec(r) = (hat(i) + hat(j) - hat(k) ) + lambda (2 hat(i) - 2 hat(j) + hat(k)) and vec(r) = (2 hat(i) - hat(j) - 3 hat(k) ) + mu (hat(i) + 2 hat(j) + 2 hat(k)) .

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Find the vector equation of the line passing through the point (1,2,3) and parallel to the vector 3hat(i) + lamda hat(j) - 2hat(k) .

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