Finding the normal vector with a given plane and point

miniake
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Homework Statement


Find the vector equation of line in three dimensional space that contains the point
P = (-1,3,0) and is orthogonal to the plane 3x - z = 2.


Homework Equations




The attempt at a solution
can I use the equation of (P-P0)n = 0 , in this question?

Since the only problem is, I don't know how to find the intersection point between the vector and the plane.

Any hints? Thanks.
 
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miniake said:

Homework Statement


Find the vector equation of line in three dimensional space that contains the point
P = (-1,3,0) and is orthogonal to the plane 3x - z = 2.


Homework Equations




The attempt at a solution
can I use the equation of (P-P0)n = 0 , in this question?

Since the only problem is, I don't know how to find the intersection point between the vector and the plane.

Any hints? Thanks.

What two things do you need to know to specify the equation of a line? Do you have or can you get these two things from what you are given?
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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