Equation Of A Line In Space

%5Cfrac%7Ba-1%7D%7B2%7D%3D%5Cfrac%7Bb-3%7D%7B-1%7D%3D%5Cfrac%7Bc-4%7D%7B1%7D%3D%5Clambda

%5CRightarrow%20a%3D2%20%5Clambda%2B1

b%3D3-%5Clambda

c%3D4%2B%5Clambda

P%20%5Cequiv%5Cleft(%5Clambda%2B1%2C3-%5Cfrac%7B%5Clambda%7D%7B2%7D%2C%204%2B%5Cfrac%7B%5Clambda%7D%7B2%7D%5Cright)

2(%5Clambda%2B1)-%5Cleft(3-%5Cfrac%7B%5Clambda%7D%7B2%7D%5Cright)%2B%5Cleft(4%2B%5Cfrac%7B%5Clambda%7D%7B2%7D%5Cright)%2B3%3D0

2%20%5Clambda%2B2-3%2B%5Cfrac%7B%5Clambda%7D%7B2%7D%2B4%2B%5Cfrac%7B%5Clambda%7D%7B2%7D%2B3%3D0

3%20%5Clambda%2B6%3D0

%5CRightarrow%5C%2C%20%5Clambda%3D-2

a%3D-3%2C%20%5C%2Cb%3D5%2C%20%5C%2Cc%3D2

So the equation of the required line is

%5Cfrac%7Bx%2B3%7D%7B3%7D%3D%5Cfrac%7By-5%7D%7B1%7D%3D%5Cfrac%7Bz-2%7D%7B-5%7D

Chapter Questions
2 MCQs