Points A and B have coordinates (−1, 2, 5) and (2, −2, 11) respectively. The plane p passes through
B and is perpendicular to AB.
(i) Find an equation of p, giving your answer in the form ax + by + cz = d.
(ii) Find the acute angle between p and the y-axis.

Question

Points A and B have coordinates (−1, 2, 5) and (2, −2, 11) respectively. The plane p passes through
B and is perpendicular to AB.
(i) Find an equation of p, giving your answer in the form ax + by + cz = d. 
(ii) Find the acute angle between p and the y-axis.

amistre64 · Answer

what do we know about how a plane is constructed?

amistre64 · Answer

given a point (xo,yo,zo) , and a vector <a,b,c>

the equation of a plane can be constructed as:

a(x-xo)+b(y-yo)+c(z-zo) = 0

asadkarim7 · Answer

the equation of plane is 3x-4y+6z=80

amistre64 · Answer

that looks good to me so far

amistre64 · Answer

notice that its asking for an angle between 2 vectors in the next problem <0,1,0> and <3,-4, 6>

asadkarim7 · Answer

<010> how did  u get this

amistre64 · Answer

the y axis is equivalent to <0,1,0>

asadkarim7 · Answer

can u explain it to me step by step please

amistre64 · Answer

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still trying to iron out some wrinkles in my thought :)