f I j t +
C >
-+- +-
M JB7D1
I I l I
lSSIGNMENT
r r
1
Iii.I: QUES ll!INS FltlLl:.11ANSWERED
t t t
DUE: 3D APRIL 2D26
, PLEASE USE THIS DOCUMENT AS A GUIDE ONLY
Question 1
Direction veetor-v:
2 -6
r{t) = +t ~10
0
Parametric. eqtJ~
Cartesian equation On the zy-ptaneJ:.
, (1.2) IE ~uation ,o f the plane containing1{J,. -6, 7), (-~ 0 , -4}i, an d (5, -9, -2)
1
Vect or s in t he plane:
AC = (5 - 3~ - 9 - ( - u), - 2 - 7) = (2, - 3,~ - 9)
Normal vector n = AB' x ..,40:
i j k
n = - 5 IQ - 1]
2 - ,3 - 9
n = i(G(- 9)- (- 11 )(-,3))- j ((- 5)(-'9) - (- ]1) (2)) + k ((- !3)(-3)- 6(2))
n = i (- 54 - 33) - j (45 + 22) + k (15 - ]2}
Plane equat ion using poln ...4 (3 - 6 7):
- 87(x - 3) - 67 (y + 6 ) + 3(z - 7) =0
- 87x + 261 - 07~.. - 402 + 3z - 21 = 0
- 7~ - 67y + 3z - 162 =0
Fina[ Answer:
87x + 67y - 3~ + 102 =0
C >
-+- +-
M JB7D1
I I l I
lSSIGNMENT
r r
1
Iii.I: QUES ll!INS FltlLl:.11ANSWERED
t t t
DUE: 3D APRIL 2D26
, PLEASE USE THIS DOCUMENT AS A GUIDE ONLY
Question 1
Direction veetor-v:
2 -6
r{t) = +t ~10
0
Parametric. eqtJ~
Cartesian equation On the zy-ptaneJ:.
, (1.2) IE ~uation ,o f the plane containing1{J,. -6, 7), (-~ 0 , -4}i, an d (5, -9, -2)
1
Vect or s in t he plane:
AC = (5 - 3~ - 9 - ( - u), - 2 - 7) = (2, - 3,~ - 9)
Normal vector n = AB' x ..,40:
i j k
n = - 5 IQ - 1]
2 - ,3 - 9
n = i(G(- 9)- (- 11 )(-,3))- j ((- 5)(-'9) - (- ]1) (2)) + k ((- !3)(-3)- 6(2))
n = i (- 54 - 33) - j (45 + 22) + k (15 - ]2}
Plane equat ion using poln ...4 (3 - 6 7):
- 87(x - 3) - 67 (y + 6 ) + 3(z - 7) =0
- 87x + 261 - 07~.. - 402 + 3z - 21 = 0
- 7~ - 67y + 3z - 162 =0
Fina[ Answer:
87x + 67y - 3~ + 102 =0
