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.

Expert Solution

milcah answered 2 years ago

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

The line k goes through the point Q(-3,5) and is perpendicular to the line g: x...

The line k goes through the point Q(-3,5) and is perpendicular to the line g: x - 3y - 22 = 0. Where do the angle bisectors of lines g and k intersect the line AB when A = (-3,3) and B = (10,3)?

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 +...

A) Find the equation of the curve with slope 4x^2/x^2+1 and passes through the point (1,0)...

A) Find the equation of the curve with slope 4x^2/x^2+1 and passes through the point (1,0) B)Find the equation of the curve with slope 4x/ x-5 and passes through the point (6,0) C) Find the equation of the curve that satisfies dy/dx = 4x^3y and whose y-intercept is 19 D) Find the equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3

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.

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.

Find an equation of the line satisfying the given conditions. Through (6,4); perpendicular to 9x+4y=70

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...

Find the equation of the circle ((x-a)2 + (y-b)2 = r2 ) that goes through the...

Find the equation of the circle ((x-a)2 + (y-b)2 = r2 ) that goes through the points (1, 1), (0, 2), and (3, 2). [Hint: subtract equations.]

The equation of the line that goes through the point (3,2) ( 3 , 2 )...

The equation of the line that goes through the point (3,2) ( 3 , 2 ) and is parallel to the line going through the points (−2,3) ( − 2 , 3 ) and (5,6) ( 5 , 6 ) can be written in the form ?=??+? where: m= b=

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