The Student Room Group

C4 vectors

I have don parts a-e correctly and am stuck on f
I know that length BC=√93 but do not know what to do know. Do I use cosine rule? Or do I have to work out dot product? Please can you give a step by step guide
Reply 1
You know the area

You know the length of AB so you know the perpendicular distance from AB to C
Reply 2
Original post by TenOfThem
You know the area

You know the length of AB so you know the perpendicular distance from AB to C


How? Area is 16 ab is 15
Reply 3
Original post by printergirl
How? Area is 16 ab is 15


The area of a triangle is 1/2 base x perpendicular height
Reply 4
Original post by TenOfThem
The area of a triangle is 1/2 base x perpendicular height


Isn't the area of whole triangle 16 , where c meets ab is perpendicular this splits the triangle?
Reply 5
Original post by printergirl
Isn't the area of whole triangle 16 , where c meets ab is perpendicular this splits the triangle?


Sorry, I do not understand your issue

The perpendicular height usually "splits" the triangle
Reply 6
Original post by TenOfThem
Sorry, I do not understand your issue

The perpendicular height usually "splits" the triangle


So what do you do? Triangle ABC isn't right angled is it?
Reply 7
Original post by printergirl
So what do you do?


You use the facts that you have

you know the area

you know AB

you know that area=1/2 x base x perpendicular height

you want the perpendicular height

Reply 8
Original post by TenOfThem
You use the facts that you have

you know the area

you know AB

you know that area=1/2 x base x perpendicular height

you want the perpendicular height



How you know ABC is right angled?
Reply 9
Original post by printergirl
I have don parts a-e correctly and am stuck on f
I know that length BC=√93 but do not know what to do know. Do I use cosine rule? Or do I have to work out dot product? Please can you give a step by step guide

you could use area is equal to, absinc

i havent done the question, but from reading what they have asked. that sounds like a reasonable assumption. PS what book is that you are using?
Reply 10
Original post by printergirl
How you know ABC is right angled?


cus c is perpendicular to AB - hence right angled, for perpendicularity must be 90 degrees (says so in part f)
Reply 11
Original post by Ayakashi
cus c is perpendicular to AB - hence right angled, for perpendicularity must be 90 degrees (says so in part f)


O I c! I thought a line from c going towards a point on ab making it perpendicular!
why is this not the case?!
Reply 12
Original post by printergirl
O -O I c! I thought a line from c going towards a point on ab making it perpendicula!
why is this not the case?!


the triangle is a point A, B and C, a line passes through A and B and C is perpendicular, connect the dots and u get a triangle! - Draw it out!
Original post by printergirl
How you know ABC is right angled?



Original post by printergirl
O I c! I thought a line from c going towards a point on ab making it perpendicular!
why is this not the case?!




Draw a triangle

AB is the base

C is the third vertex

Drop a perpendicular from C to the line AB (it meets the line at some point)

This line x AB x 1/2 = the area of the triangle



You know that this is how you find the area of a triangle ... you have probably know since you were 11


I am failing to see what you do not get
(edited 11 years ago)
Reply 14
Original post by TenOfThem
Draw a triangle

AB is the base

C is the third vertex

Drop a perpendicular from C to the line AB (it meets the line at some point)

This line x AB x 1/2 = the area of the triangle



You know that this is how you find the area of a triangle ... you have probably know since you were 11


I am failing to see what you do not get


I c. I thought a perpenficular at point ab
Original post by printergirl
I c. I thought a perpendicular at point ab


I have no idea what that means
Reply 16
Original post by printergirl
I c. I thought a perpenficular at point ab


there is no point ab, A is one point on the Line which i think you found the vector equation for, and a point B is on the same line but A is not = B, meaning it is in a different position to B. And now C is perpendicular,
guide to vectors:
step1: get a pencil
step 2: draw a line, approximately, the one you found out or any line
step 3: put points A and B on the line apart from each other -( you can use the vector equation you found out to get line a bit more accurate)
step4: Draw C connect A, B and C - and you get a triangle.

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