express the scalar product of two vectors in term of...

[soneh]

1.express the scalar product of two vectors in term of their covariant and contravariant components.
2.write a condition for the point A,B and c to be collinear.
(I) show that(a ×b)+(b×c)+(c×a)=0
3.let f(x)=x³+2x²_kx+5. k is defined to be one third of the rank of the matrix below
A=|3 -4|
.. .|1 -1|
compute f(A)
please it's urgent i need the solution asap

 

[stapel]

1.express the scalar product of two vectors in term of their covariant and contravariant components.
2.write a condition for the point A,B and c to be collinear.
(I) show that(a ×b)+(b×c)+(c×a)=0
3.let f(x)=x³+2x²_kx+5. k is defined to be one third of the rank of the matrix below
A=|3 -4|
.. .|1 -1|
compute f(A)
please it's urgent i need the solution asap

Please reply with a clear listing of your efforts so far, so that we can see where you're getting stuck. Thank you!

 

[soneh]

Please reply with a clear listing of your efforts so far, so that we can see where you're getting stuck. Thank you!

i think i have an idea on solving the third question ,but for the first and second questions i don't have an idea at all on them. thanks