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Lol ... this is vector multiplication, you can't just multiply like that normally.And the result is a cross product of two vectors ... I'll just post a pic of how to do it.
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Don't mind the pencil mapping thing ... i tried visually doing the multiplication ... looks like a mess.
And yes, I'm doing that coz the cross product of two vectors gives you a 3rd vector that is perpendicular to both the original 2 vectors you are multiplying.
So in your question, if the vector is perpendicular to both j and BC, then it is also perpendicular to the plane. I've taken j since we have not been given any other information sufficient to solve the problem. So we get n and voila! You have your eqn of the plane. B|
loll no problem*Like a boss*
Thanksss
Ohh yes I usually try to avoid that cross multiplication and just use the ratio's to find the normal![]()
I will sister, just gimme some time ... kinda busy coz i have chem mock exam day after ...Konstantino Nikolas, could u pls help me one more time
Q8 part iv)...the ans is 259N
and Q9 part iii and iv.... the answers are for iii) T=30,8.87 and for iv) its 1.23kg
plsss...
Q:8: (iv) In the previous part the resistance found was about 129.4N.and can u help me with this too...
Q8 part iv)...the ans is 259N
and Q9 part iii and iv.... the answers are for iii) T=30,8.87 and for iv) its 1.23kg
plsss...
Q:9 : (iii) First find the component of the weight acting down the slope. Let it be 'Wx'.Konstantino Nikolas, could u pls help me one more time
Q8 part iv)...the ans is 259N
and Q9 part iii and iv.... the answers are for iii) T=30,8.87 and for iv) its 1.23kg
plsss...
Oh, im so soryyy to bother uI will sister, just gimme some time ... kinda busy coz i have chem mock exam day after ...
THANK U SOOOO MUCHQ:9 : (iii) First find the component of the weight acting down the slope. Let it be 'Wx'.
Wx = 5 * 10 * sin(25)
= 21.13 N
Now for the block to be on the point of sliding upwards, the Force exerted by the 3kg mass must be equal to the force acting down the slope (component of weight down the slope + resistive force). So,
3 * 10 = 21.13 + R <---- I have let 'R' to be the resistive force.
Solving it you'll get
R = 8.87 N
(iv) Now it is given that the mass of 5kg is on the point of moving downwards. The resistive force will now act upwards.
The force exerted by the mass 'm' along the slope upwards will be 10m. So make an equation and solve.
10m + R = 21.13
10m + 8.87 = 21.13
m = 1.226 ~ 1.23kg Ans.
no no ... not bother and all ... well you got your answer earlierOh, im so soryyy to bother uGOOD LUCK FOR UR EXAM
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Take two Gs as a group and the other as an individual.Find the number of different ways in which the 9 letters of the word GREENGAGE can be
arranged if exactly two of the Gs are next to each other. [3] (9709 Nov 11 P 62)
Help please?
I did 8!/3! but apparently this is not the entire answer....
After solving it you get something like this:I can solve the question pretty fine until I reach the final thing where I get the basic angle as 48.18 but then I don't know what to do next...How do we get the required angles then? I just can't figure out whether I should subtract it from 180 or add it to 180 or what? I know cos Θ is -ve in 2nd and 3rd quadrant but what does it tell me about my required angle?View attachment 59163
Thanks a lot!After solving it you get something like this:
cos Θ = a (a corresponds to any value between 0 and 1)
if 'a' is +ive then Θ lies in the quadrant where cosΘ is +ive i.e. 1st or 4th quadrant.
but if 'a' is -ive then Θ lies in the quadrant where cosΘ is -ive. i.e 2nd or 3rd quadrant.
So if a is +ive, you can find the Θ, by subtracting basic angle from 180 or from 360. So Θ = 180 - basic angle. OR 360 - Θ
On the other hand, you'll add 180 if 'a' is -ive.
oooohh right! so when cos Θ = 0, Θ = 90...didn't focus there!See the solution below:
3(1 - cos^2Θ) - 2 cosΘ -3 = 0
3 - 3 cos^2 Θ - 2 cos Θ -3 = 0
cos Θ (3 cosΘ +2 ) = 0
Either
cos Θ = 0 OR cos Θ = -2/3
Solving cos Θ = -2/3, you get
Θ = 131.8
and solving cos Θ = 0, you get
Θ = 90 (because cos Θ = 0 when Θ = 90)
So Θ = 131.8 , 90 Ans.
cos Θ is also equal to zero at 270 degree. But we ignored it as the domain was from 0 to 180 degrees only.oooohh right! so when cos Θ = 0, Θ = 90...didn't focus there!
thanks again
Right! Got it!cos Θ is also equal to zero at 270 degree. But we ignored it as the domain was from 0 to 180 degrees only.
Look at the limits if they are in degrees then your answer should be in degree and your CALCULATOR must be in deg mode and vice versa.You can not give a random answer.When we solve questions in trigonometry, should we answer in radians or degrees..or are both acceptable?
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