A line has equation r = a + tb where r = xi +yj + zk and a and b are constant vectors
Chapter 17, Problem 77(choose chapter or problem)
A line has equation r = a + tb where r = xi +yj + zk and a and b are constant vectors such thata = 0 ,b = 0 , b not parallel or perpendicular to a .For each of the planes (a)(c), pick the equation (i)(ix)which represents it. Explain your choice.(a) A plane perpendicular to the line and through theorigin.(b) A plane perpendicular to the line and not through theorigin.(c) A plane containing the line.(i) a r = ||b || (ii) b r = ||a ||(iii) a r = b r (iv) (a b )(r a )=0(v) r a = b (vi) a r = 0(vii) b r = 0 (viii) a + r = b(ix) (a b )(r b ) = ||a ||
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