1 - 5 Let a 5 a2 - 18 and b = 4 For what value(s) of h is b in the plane spanned by a, and a,? %3D - 1 2 h The value(s) of h is(are) (Use a comma to separate answers as needed.)

Q: a. Write the parametric equations of the line L passing through point A(-6,4,-8) and perpendicular…

A:

Q: 1-x Consider the point P(1,-1, -3), the vector u = (2, 1, 0) and the line : 2+3 =y+1= 3 2 Find the…

A: Introduction: A plane is a three dimensional Euclidean figure. At least three points are needed to…

Q: 1 2 1 Let A = 3 -1 1 -4 (a) Find a basis for null(A) and im(A). (b) Explain why null(A) is a line…

A: In the question we have to find null and column space matrix.

Q: -pls show step-by-step work Question: A line that passes through the origin intersects a plane at…

A:

Q: 1 -3 h Let Vị = V2 1 and y = -5 For what value(s) of h is y in the plane -2 8. -3 generated by vị…

A:

Q: Given the parametric equations x = t1 - t2 y = 2 + t2 z = -1 - 211 + 3t2 These parametric equations…

A:

Q: 3x, - 2x, + 4X3 = 1 X, + X2 - 2x3 = 3 2x, - 3x, + 6x3 = 8 Select one: O a. x,=1,x,=3, x,=1 O b.…

A: From Cramer's rule,                                  If , ∆=0 then given system has no solution.

Q: Let A = and B , P = (9, 8, 7) c. find an equation for the plane containing A and B and the point P.…

A:

Q: 2 - 5 3 5 Given A= - 2 - 5 and b 2 - 4 7 19 Describe the solution set of Ax=b on parametric vector…

A: Answer

Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

A:

Q: 4. Given that the Cartesian equations of line L is y = 3, x + 2 =z. A(2,1,0) and B(1,4,5) are two…

A: Answer

Q: 1. LINES IN SPACE Question 1. of the line L that passes through the points (-1,3, 7) and (2, –1, 3).…

A: Solution is given below:

Q: 3. (a) Construct the image of the point A under the composition of ƒ = ref, (the reflection with…

A: Given Situation:…

Q: -1, –1). Find Let A(-1, 3, 3), B(4, –1, 0), C'(5, 4, –7), and i. the normal vector to the plane ABC.…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: if u and v are orthogonal, than u,v =(0,0,0) b. u x v is a scalar c. v.v = ||v|| d. if π/3 is the…

A: If u and v are orthogonal then u.v=(0,0,0) a true

Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

A: Given: The equations are, The matrix is of the form, AX = B

Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

A:

Q: 1.Find the area of the triangle in the xy-plane with vertices: A(n1,n2n3) , B(m1,m2,m3) ,…

A: Ans.1. Here three points  A, B, C are given and to find the area formed by joining the vertices. To…

Q: Describe the solutions of the first system of equations below in parametric vector form Provide a…

A:

Q: 5. The coordinates of the points A, B and C, are (0, 1, 3), (-1, 0, 1) and (1, -1, 2) respectively.…

A:

Q: The intersection of the two planes given by the vector equations -2 r. -2 = -5 -1 and -4 r. -4 = -2…

A:

Q: 25 Given the points A(1;-2), B(3;0) and C(1;2) of the system (0; i). 1° Write a cartesian equation…

A: Question: Given points A1;-2,  B3;0 and C1;2 of the system O;i,j (1) Find the cartesian equation of…

Q: ind sets of parametric equations and symmetric equations of the line that passes through the two…

A: We have points  P(0,0,49) and Q(21,21,0)

Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

A:

Q: (2,-1,0), B(3, 0, -2), and C(0, -3,-1). ) Find the equation of the sphere with center C nd radius…

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: 2. Given 4(2,–1, 1), B(-1,0,1), and C(-1,-1, 2) а. Parametric equation of the line through A and C…

A: Given:-   A(2,-1,1), B(-1,0,1), and C(-1,-1, 2)  To find C. Equation of  plane that contains the…

Q: 2. Given 4(2,-1, 1), B(-1,0,1), and C(-1,-1,2) Parametric equation of the line through а. A and C b.…

A: Given that: A(2, -1, 1), B(-1, 0, 1), and C(-1, -1, 2)

Q: (a) Find a vector parallel to the line of intersection of the planes 3x – 2y + 4z = -3 and За — 4у +…

A:

Q: 1 -7 3 Let a, = 2 , a2= -8 and b = -6 For what value(s) of h is b in the plane spanned by a, and a,?…

A: Let  a1=12-1  , a2=-7-83 and   b=3-6h Produce an augmented matrix, 1-72-8-13:3-6h Reduce it using…

Q: Let å = and b= 3 a) Find the area of the parallelogram formed by the two vectors. b) If the two…

A:

Q: 2. 3. 10,6,-31 You can now find the equation of the plane that contains the point (4,-1.3) and is…

A:

Q: I= -1- 4t Consider the lines l :{y = 4+ 4t z = 7+ 8t (r= 4+3s , teR and l2:{ y = 1-s , s€ R. : = 5+…

A:

Q: Let A(2, 1, 1), B(1, 2, 1), and C(1, 1, 2) be three given points. Find (i) parametric and symmetric…

A: Let A2,1,1, B1,2,1, and C1,1,2 be three given points. To find parametric and symmetric equations of…

Q: 5. a. Find the equation of the plane passing through the points A(1, –2, 5) and B (2, –10, 9) with…

A:

Q: 1 - 5 Let a, = a2 = - 16 and b = For what value(s) of h is b in the plane spanned by a, and a,? 3 h…

A:

Q: Exercise 3A SKILLS CNTICAL TNG I Find a Cartesian oquation for cach of these parametric equatioms,…

A: As per our guidelines I am solving only first three parts of the question please resubmit other…

Q: #19

A: In the given question: Prove that u, v and w are all in span (u, u + v, u + v + w). Spanning set is…

Q: 29 1° Show that the vectors u (I ; 2 ; 1) and v (3 ; 6 ; 2) are not collinear. 2° Determine the…

A: (29) (2) given vectors are                                               u→(1, 2, 1) and v→(3, 6, 2)…

Q: - The plane : is norural to the vector i- 214k and passes through the point A(3, 1.-1). Te pane 2 a…

A:

Q: Part A) GH) Find a vector parallel to the lene of intersection of the plane -X-Y-223D2. and…

A:

Q: (0, о, 16), (12, 12, 0) (a) parametric equations (Enter your answer as a comma-separated list of…

A:

Q: Ascham School 2020 Year 12 Trial Mathematics Extension 2 Examination 10 Consider the set of points…

A: Given: the set of points described by z+2=1 on the complex plane.

Q: Q6 В рart ---A -3" Let ā = and 6 = a) Find the area of the parallelogram formed by the two vectors.…

A: Given :- a= -3i +2j+0k b= 5i-4j+k To find:- b) If the two vectors are direction vectors of two lines…

Q: Consider the point P(-2, 1, 4) and the vectors Question 2 a = and b =. (a) Find the unit vector u…

A: Explanation of the answer is as follows

Q: Determine the type of intersection of the planes. State the intersection if it exists 7. Hint :Use…

A: By inspection, none of the normals are collinear. Check if the normals are coplanar using the triple…

Q: 2 -5 3 Describe all solutions of Ax = b, where A= -2 6 -5 and b= 2. Describe the general solution in…

A:

Q: Extended Answer Question 1 (a) Let A = (2,0, -1), B = (0, 4, -1) and C = (1, 2, 0) be points in R³.…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: The figure shows a region in the complex plane. Write an algebraic description of the shaded region.…

A: Given :Center : Z0=4+i