in an argand diagram the points a and b represent 1+7i and 4+3i respectively and o is the origin the quadrilateral oabc is a parallelogra find the complex numbler represented by point c

i set the gradients equal but that gives just one equation 4x+3y=0 same thing with the distances just one equation and dont know how to move from there

can i use the simple gradient method to this question or do i have to use another method to solve. this?

i set the gradients equal but that gives just one equation 4x+3y=0 same thing with the distances just one equation and dont know how to move from there

can i use the simple gradient method to this question or do i have to use another method to solve. this?

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Original post by mikeft

in an argand diagram the points a and b represent 1+7i and 4+3i respectively and o is the origin the quadrilateral oabc is a parallelogra find the complex numbler represented by point c

i set the gradients equal but that gives just one equation 4x+3y=0 same thing with the distances just one equation and dont know how to move from there

can i use the simple gradient method to this question or do i have to use another method to solve. this?

i set the gradients equal but that gives just one equation 4x+3y=0 same thing with the distances just one equation and dont know how to move from there

can i use the simple gradient method to this question or do i have to use another method to solve. this?

A quick sketch of the points and the parallelogram should convince you its a very simple answer?

Original post by mqb2766

A quick sketch of the points and the parallelogram should convince you its a very simple answer?

not really ive done a sketch

Original post by mikeft

not really ive done a sketch

Can you upload it?

Original post by mqb2766

Can you upload it?

sure its just a parallelogram with the points though nothing much to it so could you explain the solution to the question please

(edited 1 year ago)

Original post by mikeft

sure its just a parallelogram with the points though nothing much to it so could you explain the solution to the question please

If you followed the path from O to C by following A first, what is the line segment AC equal to?

Original post by mqb2766

If you followed the path from O to C by following A first, what is the line segment AC equal to?

3y+4x=0 i am not sure what the path from o to c by following a first means though

Original post by mikeft

3y+4x=0 i am not sure what the path from o to c by following a first means though

Can you upload what you sketched pls.

Youre sort of thinking about it ~correctly, but its much simpler than you imagine.

(edited 1 year ago)

Original post by mqb2766

Can you upload what you sketched pls.

Youre sort of thinking about it ~correctly, but its much simpler than you imagine.

Youre sort of thinking about it ~correctly, but its much simpler than you imagine.

yes i can okay. but what do i do next?

Original post by mikeft

3y+4x-25=0

Im not sure how youre getting this,

OB = OA + AB

You know OA and OB so AB = ... = OC

Original post by mqb2766

Im not sure how youre getting this,

OB = OA + AB

You know OA and OB so AB = ... = OC

OB = OA + AB

You know OA and OB so AB = ... = OC

why does ob=oa+ab?

Original post by mikeft

why does ob=oa+ab?

That is how you add vectors or complex numbers, tip to tail.

Your textbook must have an example?

Original post by mqb2766

That is how you add vectors or complex numbers, tip to tail.

Your textbook must have an example?

Your textbook must have an example?

i dont think so we dont use vectors is there another way to do. this without them?

Original post by mikeft

i dont think so we dont use vectors is there another way to do. this without them?

Is how you add complex numbers.

Original post by mqb2766

Is how you add complex numbers.

um well i havent seen that before is there another more simple way or could you explain this

Original post by mikeft

um well i havent seen that before is there another more simple way or could you explain this

If youre doing a question about the mod/arg of complex numbers, you must have covered adding them?

Original post by mqb2766

If youre doing a question about the mod/arg of complex numbers, you must have covered adding them?

yes i think i figured that part know, but about ob=oa+oc doesnt that mean modulus b=modulusa+modulusc but that gives an answer with roots not the 3-4i that i am looking for

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