Question: Consider the plane that contains points: A(2, 3, 1), B(11, 1, 2), and C(7, 3, 6). a) Find two vectors parallel to the plane. b)

Consider the plane that contains points: A(2, 3, 1), B(11, 1, 2), and C(7, 3, 6). a) Find two vectors parallel to the plane. b) Find two vectors perpendicular to the plane. 0) Write a vector equation of the plane. d) Write the scalar equation of the plane. e) Determine if the point D(9, 5, 2) is also on the plane. f) Write an equation of the line through the x- and yintercepts of the plane

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Thunder Corporation, an amusement park, is considering a capital investment in a new exhibit. The exhibit would cost $136,000 and have an estimated useful life of 5 years. It will be sold for $60,000...

Problem 1 Intersection of a line and a plane. (i) Find the equation of the plane that passes through the points A = (2, 1, 1), B = (-1, -1, 10) and C = (1,3, -4) (ii) Find an equation for the line...

5. (25 points) Consider the plane P containing the points P(2, 2, 1), Q(3, 2, 0) and R(-1, -1, 1). (a) Find the vectors a = PQ and b = PR. (b) Find a normal vector to the plane P. And a = axb (c)...

1. Describe in words the object parameterized by r = rcos0, y =rsin0, z=7, 0 1. Describe in words the object parameterized by x = r cosO, y = r sin O, z = 7, 0 5, 2. Describe in words thc object...

Please help with the following matrices questions: *Appreciate it if you can show your work If you are unable to view the questions below, here is link https://massey.limfinity.com/207/hillcipher.pdf...

Consider the vectors u = ( -9,0) and v = ( -3, -3) . Sketch the vectors, find the angle between the vectors, and compute the dot product using the definition u . v = |u| |v| cos 0. Sketch the...

Determine proji onto 1?) given: a) a =(4,8,2] and 13 = (1,4,6) b] ll=38 and l|=66, and the angle between ii and is 17'. (round to two decimal places) Paragraph Add a File Record Audio Record Video...

(1 point) Find an equation for the plane through the points (3, 3, 3), (1, -1, 0), (-2, 0, 2). The plane is(1 point) Find the distance the point P(-6, 9, 3), is to the plane through the three points...

please do it by handwriting pleas e make sure in clear do 3 of them please 5. Let 'P be the plane with equation .3 = 2.7: 33; + 4. (6 points) (a) Find an equation for the plane parallel to P and...

**Java Language only** Directions: Add the code below changing the output to put the 1-9,10s,20s,30s,40s,50s,60s,70s (its currently on the bottom of every array result), put it on the top of chances...

**Java language only** Directions: The code beloew tells me the most commom numbers that pop up. change the code below to say chance 1-10, chance 11-20,chance 21-30, chance 31,40 chance 41-50 chance...

On August 1, Shaw Company buys 1,000 shares of Estrada common stock for $37,000 cash. On December 1, Shaw sells the stock investments for $40,000 in cash. Journalize the purchase and sale of the...

Go to the websites of NBC and the BBC (www.nbc.com and www.bbc.co.uk). Contrast the ways NBC and the BBC promote their daily TV programs online. Which similarities and differences do you detect?...

Choose the correct statutory benefit law that this statement is referring to: I am getting laid off and my boss told me I can continue my health insurance but that I will have to pay the full amount...

b Given the limit lim jg(x)dx = K, where Ke(-0, ) and g(x) is a continuous, positive decreasing bxo function, what statement cannot be made about g(n)? n-0 D lim g(n) exists. 800 g(n) diverges by the...