6. Find the intersection of the line I and the plane r. 1:F = (4,-1,4) + t(5,-2,3) T: 2x+5y+z+2=0

Q: Find an equation of the plane through (-7, 2, 1) that is 2 = 3t, y +3 = 6t, z = perpendicular to the…

A: We know that equation of plane passing through the point (x1,y1,z1) and normal n=ai+bj+ck is…

Q: 2 2. Find an equation of the plane containing the point P(0, -) and the line determined by the two…

A:

Q: Find the equation of the plane through the line of intersection of the planes x+y+z=1and 2x+3y+4z=…

A: The equation of the plane through the intersection of the planes, x+y+z=1 and 2x+3y=4z=5, is…

Q: 9. Find the equation for the plane through Po(-2,3,9) perpendicular to the line x = -2 – t, y = -3 +…

A:

Q: P(-2,0, 3) perpendicular to the line x = 1 – t, y = 2 + 2t, z = 3+ 4t is 6. اخترأحد الخيارات x + 2y…

A: Let me discuss this problem in step 2:

Q: 3. Find the point in which the line x=+3t , y=1- 2t , and z=1+3t meets the plane x+y-z=1.

A: Here, given equation of line is,   And the given equation of plane is, From (1) and (2),

Q: Find an equation of the plane containing the line = 3t, y=2-4t, z = 1+ t and parallel to z-axis.…

A:

Q: 3. Find an equation of the plane parallel to the plane 4x -z- 3y -4 = 0 and passes through the point…

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Q: 2) Find the point of intersection of the plane x - 5y + 3z = -127 and the line r(t) = (-2,-8, 7)t +…

A:

Q: Find equations for the line perpendicular to the plane x + 5y - 2z = 6 and through the point of…

A:

Q: 4. Find an equation of the plane containing the line (x-3) = -(y + 5) = -(z + 2) and the point (5,…

A:

Q: Find the point of intersection between the line r(t) = + t and the plane 4x + 5y + 3z = 5. o a. (…

A:

Q: Find the equation of the plane that contains the line r¡(t) = (1 + lt, –1+t, 2+ 8t) and the point…

A:

Q: Give an equation of the plane determined by the intersecting lines L1 and L2 = 2t 15 –t and L2 : {…

A: