Find equation of line normal to plane 3x + 2y- z = 5 and pass through Drigin point.
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Q: Q1) Find equation of line normal to plane 3x + 2y - z = 5 and pass through Origin point. 30 mark
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Q: Find equation of line normal to plane 3x + 2y – z = 5 and pass througl Origin point.
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A: The above problem is solved.
Q: Q1) Find equation of line normal to plane 3x + 2y - z = 5 and pass through Origin point.
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Q: What is the equation of the tangent plane normal to x2 + y2 + z = 9 at the point (1, 2, 4)? O 2x -…
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Q: b) Find the equations of Tangent plane and Normal line of the surface: z3 + xyz – 2=0 at Po(1,1,1)
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Q: Determine the equation of the normal line to the surface z2 = cos(x + 2y) at the point (2, –1,0).
A: We have z2 = cos(x+2y) ⇒cos(x+2y) - z2 = 0 So, F(x,y,z) = cos(x+2y) - z2 Thus, ∇F(x,y,z) =…
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- Find the slope of the tangent to the curve of intersection of the survace 3z =√36 – 9x² – 4y² and the plane x = 1 at the points (1,–2,√11/3)!Find the equations of the tangent plane and the normal line at point (1,1,-2) to surface z^2 = x^2-y^2+4find the equation of the tangent plane and normal line to the surface x^2+y^2-2xy-x+3y-z^2 at point (1,-1,2)
- Find the tangent plane to surface 8x2 + y2 + 4z2 = 25 at the point ( 1, -1, 2 ).Find an equation of the tangent plane and symmetric equations of the normal line to thesurface zx2 − xy2 − yz2 = 18 at the point (0, −2, 3)Find a set of symmetric equations for the normal line to the surface xyz = 12 at the point (2, −2, −3).
- Find the equation of tangent plane and normal lines of the surface: ( x, y, z) = 5x^2 + 4y^2 + z^3 -9 at the point (3, 2,1).Can point normal form of a plane have no y? Leaving only constant (x - constant) + constant (z - constant) = 0?Find the slope of the tangent line at the point (1,−2,−3) on the curve of intersection of the surface z = 5−4x² −y² with (a) the plane x = 1 (b) the plane y = −2.
- Consider the curve y = 10 + 4x − x^(2) at (x, y) = (3, 13). Find a vector, v, that has length 4 and is parallel to the tangent line to y = 10 + 4x−x^(2) at x = 3.Determine the equation of the tangent plane and normal line to the surface at the given point. z=((x^2)/9) + ((y^2)/4) at the point (3, 2, 2)The plane curve C is the part of y = x^4 that begins at the point (−1, 1) and ends at the point(1, 1). Evaluate the line integral