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

Expert Solution

To find equation of a line passing through a given point and perpendicular to two given vectors

milcah answered 2 years ago

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 parametric equations for the line through the point (0, 2, 3) that is perpendicular to...

Find parametric equations for the line through the point (0, 2, 3) that is perpendicular to the line x = 2 + t, y = 2 − t, z = 2t and intersects this line. (Use the parameter t.) (x(t), y(t), z(t)) =

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 +...

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

1. write the equations of a line through the point (0, 2, -5) and perpendicular to...

1. write the equations of a line through the point (0, 2, -5) and perpendicular to the plane -2x+3y+4z = 18. Use either parametric or symmetric form. 2. Find the acute angle between the planes 2x+4y-z = 12 and x-6y+5z= 20.

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 the line that passes through the point (0, 1) and through the point of intersection...

Find the line that passes through the point (0, 1) and through the point of intersection of the two lines and

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...

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)?

(a) Find the equation of the plane passing through the point P(0, 0, 5) and the...

(a) Find the equation of the plane passing through the point P(0, 0, 5) and the line x = 1 + t, y = 1 − t, z = 4 − 5t. (b) Find parametric equations for the line passing through point (1, 2, 3) and parallel to the line x = 2 − 3t, y = 4 + t, z = 2t.

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