Let T:R³ -> R³ be multiplication by -1 -2 9 2 2 1 -12 0 -10 1. The kernel of T is a line through the origin. Find a vector equation for it. X Y = t 2. The range of T is a plane through the origin. Find an equation for it. X + y + Z = 0

Q: X = Find the vector equation for the line of intersection of the planes x - 5y + 5z = −5 and x + 5z…

A:

Q: A straight line L passes through the point A(1,-1)and B(2,5). Find the vector equation of the line…

A:

Q: Express the vector t as a linear combination of the vectors u, v, and w. 1 2 2 t = v = - 4 - 4 u= 14…

A:

Q: Find the vector equation for the line passing through the points P₁(-3, 6, 8) and P₂(−6, 0, 12). 0 0…

A:

Q: Write v as the sum of two vector components if v = i +3j and w = 2i+j. O v = (-2i+2j) + (i +j) Ov=…

A:

Q: Draw v = AB and the vector equal to v with the initial point at the origin. Find the component form…

A:

Q: Find the vector x determined by the given coordinate vector [x]p and the given basis B. 1. -5 -3 2.…

A:

Q: Express the vector t as a linear combination of the vectors u, v, and w. 1 - 2 4 t = 0 , u = 5 , v =…

A: We use the definition of the linear combination of vectors to answer the given question.

Q: Determine whether the lines L1 and L2 given by the vector equations are parallel, perpendicular, or…

A:

Q: Express the vector t as a linear combination of the vectors u, v, and w. 0. -2 t3D -5 W = 24 1 t= u+…

A: By Compearing the entries i have solves the problem

Q: Let v1 = v2 = 3 v3 = Are the vectors v1, v2 and vz linearly independent? linearly dependent If the…

A: Vectors v1, v2, v3 are linearly dependent if C1v1+c2v2+c3v3 =0 implies atleast one Ci is non…

Q: The intersection of the two planes given by the vector equations -(1)-² r. = 2 0 and 2 ()- 0 r. is 2…

A:

Q: 1. A line passes through the points A(2, 3) and B(-2, 1). Determine a vector equation of the line.…

A: To determine the equation of line which passes through the points A(2,3) and B(-2,1).

Q: Engg. Maths Memory Based Q. If the vectors (1. | 1. 2), (7,3, X. (2.3. 1) In R are Linearly…

A:

Q: Find the unit vector in the direction of the given vector. Write your answer in (a) component form…

A: According to our guidelines we can answer only 3 subparts or first questions. Kindly repost the…

Q: Find the vector expression for the line that is the intersection of the planes 3x−3y−2z=−2 and…

A:

Q: Express the vector x as a linear combination of u,, u2, and uz. – 2 3 - 2 ,x = 0 u2 = 5 u3 = – 4 u1…

A: Given u1=-201, u2=356, u3=-26-4 and x=-99-38

Q: Describe geometrically what I does to each vector in the plane. T(x) = [60] 03 x Submit Question

A:

Q: Q2. What will be the effect of multiplying the vector by a positive and a negative scalar. Explain…

A: To find: The effect of multiplying a vector by a positive and a negative scalar.  Explanation: When…

Q: Let T:R3 -> -11-1 95 R³ be multiplication by 2 10-17 6 1 -1 1. The kernel of T is a line through the…

A: 1.⎣⎢⎡​51​−51​1​⎦⎥⎤​2. 7x+y−3z=0Explanation:

Q: V= Express the vector v x+ 6 -24 y. as a linear combination of and y - 5 3

A: