C4 vectors question!

In the image attached, there are two vectors, t and l, which are perpendicular to one another. Vector l has the equation provided. The vector t, starting from the origin, meets the vector l at point C. Find the co-ordinates of C.

I absolutely hate vectors.
I have this information soup in my head containing stuff like scalar product, magnitude, etc. that somehow relate to vectors, but I don't have the slightest clue on what to do with this question.

I've taken the simultaneous equations route, equating the two vectors, but I ended up with about 8 unknowns.

Any help would be greatly appreciated!

Reply 1

TenOfThem

18

Original post by x0diak

In the image attached, there are two vectors, t and l, which are perpendicular to one another. Vector l has the equation provided. The vector t, starting from the origin, meets the vector l at point C. Find the co-ordinates of C.

I absolutely hate vectors.
I have this information soup in my head containing stuff like scalar product, magnitude, etc. that somehow relate to vectors, but I don't have the slightest clue on what to do with this question.

I've taken the simultaneous equations route, equating the two vectors, but I ended up with about 8 unknowns.

Any help would be greatly appreciated!

You know that C lies on t so you can write OC using a parameter

Then you know OC is perpendicular to t so dot the direction vectors and you have 0

Reply 2

interstitial

18

Original post by x0diak

In the image attached, there are two vectors, t and l, which are perpendicular to one another. Vector l has the equation provided. The vector t, starting from the origin, meets the vector l at point C. Find the co-ordinates of C.

I absolutely hate vectors.
I have this information soup in my head containing stuff like scalar product, magnitude, etc. that somehow relate to vectors, but I don't have the slightest clue on what to do with this question.

I've taken the simultaneous equations route, equating the two vectors, but I ended up with about 8 unknowns.

Any help would be greatly appreciated!

Dot product is 0 for perpendicular vectors. The point of intersection is also on the line I. Can you form some equations from that?

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C4 vectors question!

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