Determine the general equation of a plane that passes through (-1, -2,1) and is perpendicular to...

Determine the general equation of a plane that passes through (-1, -2,1) and is perpendicular to the line that passes through point (0,2,3) and through the intersection of the x + 2y plane. -z = 0 and the line: L = (x = -2 + 5t, y = 2t, z = 4 + 3t) Graph the answer

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milcah answered 2 years ago

A) Find the equation of the plane that passes through (2, -1,3) and is perpendicular to...

A) Find the equation of the plane that passes through (2, -1,3) and is perpendicular to the line x = 2-3t, y = 3 + t, z = 5t B) Find the equation where the planes 2x-3y + z = 5 and x + y-z = 2 intersect. C) Find the distance from the point (2,3,1) to the x + y-z = 2 plane. D) Find the angle between the planes x + y + z = 1 and x-2y...

1. Provide the equation of the line that has slope ? = −4 and passes through the point (−2,1).

1. Provide the equation of the line that has slope ? = −4 and passes through the point (−2,1). 2.Rewrite ?(?) = |? − 4| as a piecewise-defined function. 3.Rewrite ln((?4(?2+2) )/??3 ) in terms of simpler logarithms (no powers, products, or quotients inside the logarithm). 4.Test ℎ(?) = −2?^4 + 8? − 3 for symmetry and state your conclusion. 5. If the domain is restricted to the open interval (-pi/2,pi/2),find the range of f(x)=e^tan x

Find an equation of the plane that passes through the point (1, 7, 3) and cuts...

Find an equation of the plane that passes through the point (1, 7, 3) and cuts off the smallest volume in the first octant.

6) a). Find the equation of the plane through the origin and perpendicular to x+y+z =...

6) a). Find the equation of the plane through the origin and perpendicular to x+y+z = 5 and 2x+y−2z = 7 b). Let A = (−1,3,0), B = (3,2,4) and C = (1,−1,5). ( I ) Find an equation for the plane that passes through these three points. ( II ) Find the area of the triangle determined by these three points.

Show the complete and neat solution. 1. A plane through the origin is perpendicular to the...

Show the complete and neat solution. 1. A plane through the origin is perpendicular to the plane 2? − ? − ? = 5 and parallel to the line joining the points A (1, 2, 3) and (4, -1, 2). Find its equation.

Find the equation of the line through the point P = (0,2,−1) that is perpendicular to...

Find the equation of the line through the point P = (0,2,−1) that is perpendicular to both ⃗v = 〈3,0,1〉 and ⃗w = 〈1,−1,2〉. v and w are vectors by the way

Find the equation of the line goes through (1,0,-1) that is perpendicular to the lines x...

Find the equation of the line goes through (1,0,-1) that is perpendicular to the lines x = 3+2t,y = 3t,z = −4t and x = t,y = t,z = −t. Write it in parametric and the vector equation form.

Find the equation of the straight lines and draw the graph. a) Go through point (2,1)...

Find the equation of the straight lines and draw the graph. a) Go through point (2,1) and have slope 5. b) Go through points (3, -1) and (4,5)

Find the equation of the plane through the point (1,1,1) which is perpendicular to the line of intersection of the two planes x−y−3z=−1 and x−3y+z= 2.

1. Find an equation of the line that satisfies the given conditions. Through (1/2, -2/3); perpendicular...

1. Find an equation of the line that satisfies the given conditions. Through (1/2, -2/3); perpendicular to the line 6x - 12y = 1 2. Find the slope and y-intercept of the line. Draw its graph. 4x + 5y = 10 3. Find the x- and y-intercepts of the line. Draw its graph. 5x + 3y − 15 = 0 4. The equations of two lines are given. Determine whether the lines are parallel, perpendicular, or neither. y = 4x +...

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