How do you determine if the vectors are coplanar: a

Haialarmz6 2022-01-22 Answered
How do you determine if the vectors are coplanar: a = [-2,-1,4], b = [5,-2,5], and c = [3,0,-1]?
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Expert Answer

Gwendolyn Meyer
Answered 2022-01-23 Author has 11 answers
Evaluate the determinant of the matrix with these vectors as rows:
[214525301]
=2[2501]1[5513]+4[5230]
=2(2)1(20)+4(6)
=420+24
=0
Since the determinant is 0, these vectors only span at most a 2 dimensional space. That is, they are coplanar.
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Suppose f is a differentiable function of x and y, and 

g(rs) = f(2r − ss2 − 7r).

 Use the table of values below to calculate 

gr(4, 3)

 and 

gs(4, 3).

    f     g     fx     fy  

  (5, −19)  

4

9

7

1

  (4, 3)  

9

4

5

2

 

gr(4, 3)  =   
gs(4, 3)  = 
Suppose f is a differentiable function of x and y, and 

g(rs) = f(2r − ss2 − 7r).

 Use the table of values below to calculate 

gr(4, 3)

 and 

gs(4, 3).

    f     g     fx     fy  

  (5, −19)  

4

9

7

1

  (4, 3)  

9

4

5

2

 
gr(4, 3)  =   
gs(4, 3)  = 
Suppose f is a differentiable function of x and y, and 

g(rs) = f(2r − ss2 − 7r).

 Use the table of values below to calculate 

gr(4, 3)

 and 

gs(4, 3).

    f     g     fx     fy  

  (5, −19)  

4

9

7

1

  (4, 3)  

9

4

5

2

 
gr(4, 3)  =   
gs(4, 3)  = 

 

 

 

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