Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below.

Question

Question

Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below.

Let H = Span{V₁, V₂} and K = Span{V₃,V₄}, where V₁, V₂, V₃, and V₄ are given below.

Then H and K are subspaces of R³. In fact, H and K are planes in R³ through the origin, and they intersect in a line through 0. Find a nonzero vector w that generates that line.

w= _______

math Advanced-Math

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Add a comment

Answer 2

Similar Homework Help Questions

Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are...

Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below. 1 V1 V2 V4 - 10 7 9 3 -6 Then Hand K are subspaces of R3. In fact, H and K are planes in R3 through the origin, and they intersect in a line through 0. Find a nonzero vector w that generates that line. W= [Hint: w can be written as C1 V2 + c2V2 and also as c3 V3...
(1 point) Let H = span {v\,v2, v3, V4}. For each of the following sets of...

(1 point) Let H = span {v\,v2, v3, V4}. For each of the following sets of vectors determine whether H is a line, plane, or R3. Select an Answer 1. -2 -8 -6 28 2 8 6 28 , V3 = ,V4 3 13 10 46 2. Select an Answer 0 2 4 V2 , V3 4 = -3 0 -6 -12 Select an Answer 3. -1 7 -12 0 3 -7 -11 -1 , V2 = , V4 ,...
Suppose V1, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in span(V1, V2, V3) such that

Suppose V1, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in span(V1, V2, V3) such that (V1, V1) = 51, (V2, V2) = 638, (V3, V3) = 36, (w, V1) = 153, (w, v2) = 4466, (w, V3) = -36, then W = _______ V1 + _______ V2+ _______ V3.

please give the correct answer with explanations, thank you Let S {V1, V2, V3, V4, Vs}...

please give the correct answer with explanations, thank you Let S {V1, V2, V3, V4, Vs} be a set of five vectors in R] Let W-span) When these vectors are placed as columns into a matrix A as A-(V2 V3 r. ws). and Asrow-reduced to echelon form U. we have U - -1 1 013 001 1 state the dimension of W Number 2. State a boss B for W using the standard algorithm, using vectors with a small as...
For the given four element circuit loop with voltages V1, V2, V3, then the voltage v4...

For the given four element circuit loop with voltages V1, V2, V3, then the voltage v4 is given by: + V₂ V4 = -V1 - V2 - Vz V4 = -V1 + V2 - 13 V4 = V1 + V2 + V3 14 = -V1 + V2 + V3
חו (1 point) Suppose V1, V2, V3 is an orthogonal set of vectors in R Let...

חו (1 point) Suppose V1, V2, V3 is an orthogonal set of vectors in R Let w be a vector in span(V1, V2, V3) such that (v1,vi) = 24, (v2,v2) = 21, (V3, V3) = 9, (w,v) 120, (w, v2) = 147, (w,v3) -36, Vi+ V2+ then w= V3.

ote: The norm of is denoted by |vand is calculated N a vector u Consider a subspace W of R4, W span(1, v2, v3, v4)). Where 0 из- 1. Find an orthonormal basis Qw of W and find the dimension of W 2. Fi...

ote: The norm of is denoted by |vand is calculated N a vector u Consider a subspace W of R4, W span(1, v2, v3, v4)). Where 0 из- 1. Find an orthonormal basis Qw of W and find the dimension of W 2. Find an orthonormal basis QWL of WL and find the dimension of WL 3. GIven a vector u- . find the Qw coordinate of Projw(v) . find the Qwa coordinate of Projwi (v) » find the coordinate...
15 points) Consider the following vectors in R3 0 0 2 V1 = 1 ; V2...

15 points) Consider the following vectors in R3 0 0 2 V1 = 1 ; V2 = 3 ; V3 = 1] ; V4 = -1;V5 = 4 1 2 3 = a) Are V1, V2, V3, V4, V5 linearly independent? Explain. b) Let H (V1, V2, V3, V4, V5) be a 3 x 5 matrix, find (i) a basis of N(H) (ii) a basis of R(H) (iii) a basis of C(H) (iv) the rank of H (v) the nullity...
Let {v1, v2,v3} be a linearly independent set in R^n and let v = -αv3 +v1,w...

Let {v1, v2,v3} be a linearly independent set in R^n and let v = -αv3 +v1,w = v2 - αv1, u= v3-αv2 where αER, find all the values of α, where v, w, u are linearly dependent. do not use matrices.

In the circuit below, V1 = 2 Volts, V2 = 10 Volts, V3 = 46 Volts, V4 =3 Volts, and R3 = 5 Ohms

In the circuit below, V1 = 2 Volts, V2 = 10 Volts, V3 = 46 Volts, V4 =3 Volts, and R3 = 5 Ohms. Battery 1 (V1) is chosen to the guess the initial current directions as discussed in the procedure in the Powerpoint and in class and main current is the current through V1, current 1 is the current through V2, and current 2 is the current through battery 3. If the correct loop equations are solved correctly, the...

Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below.

Homework Answers

Add Answer to:
Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below.

Post as a guest

Earn Coins

Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are...

(1 point) Let H = span {v\,v2, v3, V4}. For each of the following sets of...

Suppose V1, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in span(V1, V2, V3) such that

please give the correct answer with explanations, thank you Let S {V1, V2, V3, V4, Vs}...

For the given four element circuit loop with voltages V1, V2, V3, then the voltage v4...

חו (1 point) Suppose V1, V2, V3 is an orthogonal set of vectors in R Let...

ote: The norm of is denoted by |vand is calculated N a vector u Consider a subspace W of R4, W span(1, v2, v3, v4)). Where 0 из- 1. Find an orthonormal basis Qw of W and find the dimension of W 2. Fi...

15 points) Consider the following vectors in R3 0 0 2 V1 = 1 ; V2...

Let {v1, v2,v3} be a linearly independent set in R^n and let v = -αv3 +v1,w...

In the circuit below, V1 = 2 Volts, V2 = 10 Volts, V3 = 46 Volts, V4 =3 Volts, and R3 = 5 Ohms

Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below.

Homework Answers

Add Answer to: Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below.

Post as a guest

Earn Coins

Add Answer to:
Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below.