Help at math (vector)

[Genesis]

With respect to the origin O, the position vectors of two points A and B, and AP=&AB

I. Show that OP=(1+2&)I + (2+2&)j + (2-2&)k
II. By equating expression for cos AOP and cos BOP in terms of &, find the value of & for which OP bisect the angle AOB
III. when & has this value, verify that AP:PB = OA:OB
Can anyone help me with this?

[Bykeshgoly]

Who gave you this question it represented in an abhorrent manner and are there any diagrams to accompany the question?

[Genesis]

Messaggio originale di Bykeshgoly:

Who gave you this question it represented in an abhorrent manner and are there any diagrams to accompany the question?

Well its from Cambridge AS & A math book, and no, there is no diagram.
Just word only

[Bykeshgoly]

Messaggio originale di Genesis:

Messaggio originale di Bykeshgoly:

Who gave you this question it represented in an abhorrent manner and are there any diagrams to accompany the question?

Well its from Cambridge AS & A math book, and no, there is no diagram.
Just word only

Wait a minute, I think I might have that textbook.

[Auraplayer (Stir Crazy)]

Yes, yes, I've seen this type of quackdoodle before, I'd need a visual representation of that problem, since usually, vectors are best understood when drawn as specified.

[Genesis]

Messaggio originale di Bykeshgoly:

Messaggio originale di Genesis:

Well its from Cambridge AS & A math book, and no, there is no diagram.
Just word only

Wait a minute, I think I might have that textbook.

Campbridge international
AS and A level mathematics
Pure mathematics 2&3
Coursebook
Page 177 no 6

[Genesis]

Messaggio originale di Auraplayer:

Yes, yes, I've seen this type of quackdoodle before, I'd need a visual representation of that problem, since usually, vectors are best understood when drawn as specified.

There is only words only, it Doesn't even have diagram or the picture

[Auraplayer (Stir Crazy)]

Messaggio originale di Genesis:

Messaggio originale di Auraplayer:

Yes, yes, I've seen this type of quackdoodle before, I'd need a visual representation of that problem, since usually, vectors are best understood when drawn as specified.

There is only words only, it Doesn't even have diagram or the picture

Can you at least imagine that diagram, since it already has the ingredients on the problem to make one yourself?

[Nabster]

Yes

[Genesis]

Messaggio originale di Auraplayer:

Messaggio originale di Genesis:

There is only words only, it Doesn't even have diagram or the picture

Can you at least imagine that diagram, since it already has the ingredients on the problem to make one yourself?

Messaggio originale di Auraplayer:

Messaggio originale di Genesis:

There is only words only, it Doesn't even have diagram or the picture

Can you at least imagine that diagram, since it already has the ingredients on the problem to make one yourself?

I think

[Auraplayer (Stir Crazy)]

Messaggio originale di Genesis:

Messaggio originale di Auraplayer:

Can you at least imagine that diagram, since it already has the ingredients on the problem to make one yourself?

Messaggio originale di Auraplayer:

Can you at least imagine that diagram, since it already has the ingredients on the problem to make one yourself?

I think

It seems to be an XYZ configuration, if I'd be honest, I've never dabbled with that kind of physical complexity, but it should be straightforward once the plan is laid out.

[Genesis]

Messaggio originale di Auraplayer:

Messaggio originale di Genesis:

I think

It seems to be an XYZ configuration, if I'd be honest, I've never dabbled with that kind of physical complexity, but it should be straightforward once the plan is laid out.

I still don't know how to do it

[Hayter]

Quick maths 🧠

[Auraplayer (Stir Crazy)]

Messaggio originale di Genesis:

Messaggio originale di Auraplayer:

It seems to be an XYZ configuration, if I'd be honest, I've never dabbled with that kind of physical complexity, but it should be straightforward once the plan is laid out.

I still don't know how to do it

Me either, but since I've been with the XY configuration, it could be laid out partially. Say, O means origin, and you know that an origin a point in space, so that ticks the box off. Now, points A and B could be coordinates in the X & Y axis, so that's fine and dandy. And the part that I'm confused is the AP=&AB, which could mean that they're equal in value.

[Bykeshgoly]

I'm quite sure you are dealing some vectors in the third dimension and as for myself I am too tired to produce anything worth your while to read on the subject and have failed to obtain the textbook from wherever I thought it was. But here[imgur.com] are two pages from an old physics textbook from the 1940s or sometime around there that may be of some use to you but likely will not completely apply to a third-dimensional vector question.

[Genesis]

Messaggio originale di Bykeshgoly:

I'm quite sure you are dealing some vectors in the third dimension and as for myself I am too tired to produce anything worth your while to read on the subject and have failed to obtain the textbook from wherever I thought it was. But here[imgur.com] are two pages from an old physics textbook from the 1940s or sometime around there that may be of some use to you but likely will not completely apply to a third-dimensional vector question.

Thanks for the effort, but still didn't quite help me at all