Unformatted text preview: 4. 1 1 M = @ 1 3 2 2 21 3 11 A M1 = 1 12 @ 1 a b 1 75 48 4 A (a) (5) Compute the determinant of M . b) (10) Find the numbers a and b in the formula for the matrix M1 . x + 2 y + 3 z = 0 c) (10) Find the solution ~ r = h x, y, z i to 3 x + 2 y + z = t as a function of t . 2 xyz = 3 d ~ r d) (5) Compute . dt Problem 5. (a) (5) Let P ( t ) be a point with position vector ~ r ( t ). Express the property that P ( t ) lies on the plane 4 x3 y2 z = 6 in vector notation as an equation involving ~ r and the normal vector to the plane. d ~ r (b) (5) By di ↵ erentiating your answer to (a), show that is perpendicular to the normal vector dt to the plane....
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 Spring '14
 GuantaoChen
 Graph Theory, @, vw, normal vector, rear bumper, 0 1 m

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