2. Find the equation of plane which passes through the point (1,2, –3) and the vector i – 2j + 3k is normal to it

Q: Find a vector equation of a plane having x-intercept 4, y-intercept -1, and a z-intercept of 5.…

A: The x-intercept is 4. The y-intercept is -1. The z-intercept is 5.

Q: 10. A Plane is flying at 45 degrees north of the x axis at 400 mph. Sketch the situation and find…

A: Drawing the given data , Plane is at "A" From the diagram the x-component is OB…

Q: Use the vector cross product to nd the equation of the plane in R3 containing the three points…

A: Points are  4,1,2,1,-1,1,5,2,3

Q: 32. Determine the vector equation of the plane that contains the following two lines. L1: = [4,-3,…

A: .

Q: 1. Find a unit vector perpendicular to the line passing through the points (1, 0, -3) and (2, 1,…

A:

Q: A plane in R'is perpendicular to the vector (4, 2, – 9), and contains the point (- 9, 5, - 8). Find…

A: A plane in ℝ3 is perpendicular to the vector 4, 2, -9 and contains point -9, 5, -8To find the…

Q: Find the cartesian equation of the plane that is normal to the vector n = -3i – 4j+4k and includes…

A: n=-3i-4j+4k  and P(2,-7,5)

Q: III. Consider the line ₁ given by the symmetric equations +1=-y-1 B 2 and the line ₂ given by the…

A:

Q: Determine a unit vector perpendicular to the plane a =21-6j –3k and b=4i+3j – *

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 10.Determine the vector equation of the plane that contains the origin and the intersection of:…

A:

Q: Find an equation of the plane that contains the point (-1, 2, 3) and is perpendicular to the line…

A: The plane is perpendicular to the line, then the direction vector of the line is normal to the…

Q: Find an equation of the plane through the point (29,-37,46) and with normal vector 14i+19j–17k.

A: we have to find an equation of the plane passing through the point (29,-37,46) and with normal…

Q: 3. Find the 1-parametric equation of the line in the plane passing through the vector P=[]-[9] Hint:…

A: p = [-3,2]q = [0,-3]now find parametric equation lines

Q: 4. Determine a vector equation for the plane that is parallel to the xy -plane and passes through…

A: Due to our answering guidelines we can only answer one question at a time, therefore I will be…

Q: Which of the following is the equation of the plane passing through the point (0,2,-3) and with…

A:

Q: 2. Write the plane equation when it passes through a point Mo(11,2) and is: a) perpendicular to the…

A: We have to find the equation of the plane.

Q: Consider the line l in R³ given by the parametric vector equation 3 1 -2 -1 and the plane described…

A: Given that the line l in R3 given by the parametric vector equation and the plane described by the…