Old Test 1 Answers 

 

 

 

  c) Unit vector in the direction of a = (1/sqrt(14)) <1, 2, -3>

  c) Projection of  c onto b = (-3/11) <3, -1, 1>

2) A = sqrt(161)

 

or   (7)(x-2)+(4)(y-2)+(17)(z+1) = 0 

 

 

Plot 

 

 

 

Plot 

 

 

6) V = 5
 

 

   

       y = 2-3*t 

z = -4+t 

  c) 1/2*x-1/2 = -1/3*y+2/3 and -1/3*y+2/3 = z+4 

 

  or  20*x-14*y-15*z-73 = 0 

 

 

    ,     0 <= t and t <= 1 

    y = 1-5*t 

z = 5*t