Question

The vector equation of line through the point A(3, 4, –7) and B(1, –1, 6) is

• A. $r = ( 3 \mathrm { i } + 4 \mathrm { j } - 7 \mathrm { k } ) + \lambda ( \mathrm { i } - \mathrm { j } + 6 \mathrm { k } )$
• B. $r = ( i - j + 6 k ) + \lambda ( 3 i + 4 j - 7 k )$
• C.
• D.

Answer 1

Answer: (C)

Answer 2

Position vector of A is and

that of B is

We know that equation of line in vector form,,