Question: 3. Using matrices, determine if and how the following planes intersect. If they intersect at a single point, determine the point of intersection. If they

3. Using matrices, determine if and how the following planes intersect.

3. Using matrices, determine if and how the following planes intersect. If they intersect at a single point, determine the point of intersection. If they intersect along a single line, find the parametric equations of the line of intersection. Otherwise, just state the nature of the intersection. Show all of your work. [10 marks] 3x - 3y - 2z = 14 5x + y - 6z = 10 x - 2y + 4z = 9

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!

3. Using matrices, determine if and how the following planes intersect. If they intersect at a single point, determine the point of intersection. If they intersect along a single line, find the...

1) For the line that passes through the points A{5, 8, -2) and B(-1, 3. 5), nd a) a vector equation. (K 2 marks} 13} parametric equations. (K l' mark} 2) Determine if and how the following lines...

1. Find a. A unit vector that is parallel to (1, 2, 3) b. A vector that points in the same direction as the vector (1, 2, 3) but has a magnitude of 5. 2. Mark each of the following statements as True...

What is the solution?Thank you! 3. Let 2x y + z = 5 and x + y z = 1 be the equations of two planes. a) Find the line of intersection of these two planes using Gauss or Gauss-Jordan. What is the...

MCV 4U Unit 6 Test Lines and Planes Date_ Name: x = 4 -s+t 5 . Find a vector perpendicular to the plane n = ) y = 1+ s -t z =1+s+t a) [1, -3, -4] b) [5, 5, 0] c) [2, 1, 1] d) none of these 6. Which...

answer asap (x = 4-s+t 5. Find a vector perpendicular to the plane It = y = 1+s-t z =1+s+t a) [1, -3, -4] b) [5, 5, 0] c) [2, 1, 1] d) none of these 6. Which is a correct direction vector for the...

1. We need two points to define a line. A different way to say this is that if you have two points, you will need at least a line to hold them. In this sense, what do you need at least three points...

Type IV: Three Planes Intersect in a Line One normal vector is a of the other 2 normals and the also satisfy this same linear combination. All 3 normals are still coplanar. H4 \"1; 2xy+322=0...

Lines & Planes 8 K/U 13 Comm 10 Think Unit 6 Test 12 App Name ________________________________ Knowledge/Understanding (8 marks) Identify the choice that best completes the statement or answers the...

On December 14, XTO Energy, Inc. executed a 5-for-4 split. At that time, Bill owned 325 shares of that stock. The price per share was $65.80. After the split he received a check for a fractional part...

Wanda wants to open a Health Food Store. Her monthly expenses are rent $3,500, utilities of $1,000, insurance of $500, and payroll of $4,250. She estimates that her cost of goods is approximately 65...

Evaluate the indefinite integral. ( Remember the constant of integration. ) ( x - 1 x 2 ) ( x 2 2 x ) 6 d x

Represent the vector with respect to the basis. (a) (b) x 2 + x 3 , D = h1, 1 + x, 1 + x + x2, 1 + x + x2 + x3) P3 (c) 2

Find the dimension of each. (a) The space of cubic polynomials p(x) such that p(7) = 0 (b) The space of cubic polynomials p(x) such that p(7) = 0 and p(5) = 0 (c) The space of cubic polynomials p(x)...

Assume the same information as in E14-3 except that the securities are classified as available-for-sale. The fair value of the bonds at December 31 of each year-end is as follows. Instructions (a)...

On December 21, 2008, Bucky Katt Company provided you with the following information regarding its trading securities. During 2009, Colorado Company stock was sold for $9,400. The fair value of the...

Entries for Available-for-Sale Securities assume the same information as in E17-3 except that the securities are classified as available-for-sale. The fair value of the bonds at December 31 of each...

Tori and some other childeen experimented with balls to see which ones rolled. First using a piece of cardboard to use as a ramp, they angled it on a block to the floor to test the balls. Then Tori...

A You are presented with the following information relating to Plott plc for the year to 31 March 2014: ..... $ 000$ Bank overdraft ..... 500 Called-up share capital (issued and fully paid) ........

A The following information has been extracted from the books of Quire plc as at 30 Sep- tember 2014. 000 ..... $ 000$ Bank overdraft ..... 2,400 Called-up share capital (ordinary shares of $ 1$...

A Cosnett Ltd is a company principally involved in the manufacture of aluminium accessories for camping enthusiasts. Its trial balance at 30 September 2014 was: \begin{tabular}{lrr} Issued ordinary...