Find a linear combination of vectors
$begingroup$
$A,B,C$ and $D$ are collinear points. $B$ divides $AC$ in the ratio $2:5$ and $D$ divides $BC$ in the ratio $6:-1$. Express $vec{OA}$ as a linear combination of $vec{OB}$ and $vec{OD}$
I do not how to solve this problem.
I tried drawing a diagram for this question. I am not sure how to continue.
The answer is supposed to be $vec{OA} = {7over 5} vec{OB} -{2over 5}vec{OC}$
vector-spaces vectors
asked Dec 12 '18 at 23:22
didgocksdidgocks
6821924
$endgroup$
add a comment |
$begingroup$
$A,B,C$ and $D$ are collinear points. $B$ divides $AC$ in the ratio $2:5$ and $D$ divides $BC$ in the ratio $6:-1$. Express $vec{OA}$ as a linear combination of $vec{OB}$ and $vec{OD}$
I do not how to solve this problem.
I tried drawing a diagram for this question. I am not sure how to continue.
The answer is supposed to be $vec{OA} = {7over 5} vec{OB} -{2over 5}vec{OC}$
vector-spaces vectors
asked Dec 12 '18 at 23:22
didgocksdidgocks
6821924
$endgroup$
$begingroup$
Using colinearity and the given ratio, can you write $B$ as a linear combination of $A$ and $C$?
$endgroup$
– amd
Dec 13 '18 at 0:44
add a comment |
$begingroup$
$A,B,C$ and $D$ are collinear points. $B$ divides $AC$ in the ratio $2:5$ and $D$ divides $BC$ in the ratio $6:-1$. Express $vec{OA}$ as a linear combination of $vec{OB}$ and $vec{OD}$
I do not how to solve this problem.
I tried drawing a diagram for this question. I am not sure how to continue.
The answer is supposed to be $vec{OA} = {7over 5} vec{OB} -{2over 5}vec{OC}$
vector-spaces vectors
asked Dec 12 '18 at 23:22
didgocksdidgocks
6821924
$endgroup$
$A,B,C$ and $D$ are collinear points. $B$ divides $AC$ in the ratio $2:5$ and $D$ divides $BC$ in the ratio $6:-1$. Express $vec{OA}$ as a linear combination of $vec{OB}$ and $vec{OD}$
I do not how to solve this problem.
I tried drawing a diagram for this question. I am not sure how to continue.
The answer is supposed to be $vec{OA} = {7over 5} vec{OB} -{2over 5}vec{OC}$
vector-spaces vectors
vector-spaces vectors
asked Dec 12 '18 at 23:22
didgocksdidgocks
6821924
asked Dec 12 '18 at 23:22
didgocksdidgocks
6821924
edited Dec 13 '18 at 22:06
didgocks
asked Dec 12 '18 at 23:22
didgocksdidgocks
6821924
asked Dec 12 '18 at 23:22
didgocksdidgocks
6821924
asked Dec 12 '18 at 23:22
didgocksdidgocks
6821924
6821924
$begingroup$
Using colinearity and the given ratio, can you write $B$ as a linear combination of $A$ and $C$?
$endgroup$
– amd
Dec 13 '18 at 0:44
add a comment |
$begingroup$
Using colinearity and the given ratio, can you write $B$ as a linear combination of $A$ and $C$?
$endgroup$
– amd
Dec 13 '18 at 0:44
$begingroup$
Using colinearity and the given ratio, can you write $B$ as a linear combination of $A$ and $C$?
$endgroup$
– amd
Dec 13 '18 at 0:44
$begingroup$
Using colinearity and the given ratio, can you write $B$ as a linear combination of $A$ and $C$?
$endgroup$
– amd
Dec 13 '18 at 0:44
add a comment |
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$begingroup$
Using colinearity and the given ratio, can you write $B$ as a linear combination of $A$ and $C$?
$endgroup$
– amd
Dec 13 '18 at 0:44