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Mathematics: Post your doubts here!

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Tha
i)
If Two Vector A and B are collinear (on the same line).. then Vector B = k(Vector A)

OA = (p, 1, 1) OB = (4, 2, p)

Comparing the j coefficents ..

OB = k(OA)
2 = k(1)
k=2

now compare either of the first or last to get p... Like comparing the first one we get

OB = k(OA)
OB = k(OA)
4= 2(p)
p=2 Answer

Unit vector in direction of OA vector :¬
As we know P = 2, hence, OA vector = (2, 1, 1)
So, 1/roof(2^2 + 1^2 + 1^2) = 1/root(6)


iii)
What you dont get in this? Simply do OB - OA.

Thanks a ton!!
 
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QU 10 ii) sketch the inverse of f(x) tht is reflection on y=x

iii) let f(x) = y
make x subject of formula
then f inverse = the equation in terms of y but replace the y by x
do this for both equations

as for the set of values
range of f(x) = domain f inverse
domain of f(x)= range of f inverse
whn sketching the graph ull find it :)

its -5<x<1 and 1<x<4 as far as i remember...i did it this morning
 
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162
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QU 10 ii) sketch the inverse of f(x) tht is reflection on y=x

iii) let f(x) = y
make x subject of formula
then f inverse = the equation in terms of y but replace the y by x
do this for both equations

as for the set of values
range of f(x) = domain f inverse
domain of f(x)= range of f inverse
whn sketching the graph ull find it :)

its -5<x<1 and 1<x<4 as far as i remember...i did it this morning
Thank you so much :)
 
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Guys is it acceptable to multiply 2^x (into) 3^x to be 6^x ??
o2iRlR.jpg
 
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