Problem in this then comment below. I will explain you..
.
please thumbs up for this solution..thanks..
.
and B=21+3jtk. Find Question I Suppose A = 3ij-zk a lax BI ? b(+2B)x(2-B) ? c...
Question 2 (10 marks) Consider vectors b) (a) Show that B {bi, b2} and Ć = {ci. C2} are bases for R2 (b) Find the B-coordinates of x- (c) Find the change of coordinates matrix Pc-s from B to C and use it to find [x (d) Find the C-coordinates of y - (e) Find the change of coordinates matrix Psc from C to B and use it to find yg
Question 2 (10 marks) Consider vectors b) (a) Show...
Question 3 (10 marks) Suppose B-[bi, b2] and Cci, c2) are bases for a vector space V, even though we do not know the coordinates of all those vectors relative to the standard basis. However, we know that bi--c1 +3c2 and b2-2c1 -4c2 (a) Show that if C is a basis, then B is also a basis (b) Find N, given that x-5but 3b2. (c) Find lyle given that y Зе-5c2.
Question 3 (10 marks) Suppose B-[bi, b2] and Cci,...
a1 a12 a13 a14 bi by b 2 Denote row i in matrix A above as vector a' and row i in matrix B as vector bn' for example, a aan a3 aul Similarly, denote column k in matrix A as vector and column k in matrix B as vector b. a) Does matrix C AB exist? If no, explain why not. If yes, write it out expressing each element ck as the inner product of the relevant vectors defined...
I need help with question 2b and 3. Please help it would be
awesome if i knew how to do these questions.
v=(2,-4)
w=-3i+2j
2. Let and ui be as in Problem 1. Find the following quantitics (a) 2u) (ui-2t). (b) The angle between the vectors (2u) and (wi-2) 3. Let be the line defined by 2r +3y 1. (a) Find an equation of the line parallel to I, running through the origin. (c) Find an equation of the line...
xi+ yj + zk 3. Given the vector field in space F(x, y, z) = or more conveniently, (.x2 + y2 + 22)3/2 1 Fr) where r = xi + yj + zk and r= ||1|| = x2 + y2 + x2 (instead of p) 73 r (a) [10 pts) Find the divergence of F, that is, V.F. (b) (10 pts] Directly evaluate the surface integral [/F F.Nds where S is the unit sphere 22 + y2 + z2 1...
zi+yj + zk 3. Given the vector field in space F(x, y, z) or more conveniently, (x2 + y2 + 22)3/2 f where r = ci + yj + zk and r= |||| = V2 + y2 + z2 (instead of p) 1 F(r) = r2 (a) [10 pts] Find the divergence of F, that is, V.F. (b) (10 pts] Directly evaluate the surface integral lle F.NDS where S is the unit sphere x2 + y2 + z2 = 1...
Consider the following vector field. F = (xi + yj + zk )/((x^2 + y^2 + z^2)^3/2) (a) Find the divergence of F. (b) Let S be any sphere not containing the origin. Find the outward flux of F across S. (c) Let Sa be the sphere of radius a centered at the origin. Find the outward flux of F across Sa.
Additional Problems: (HINT: It suffices to consider Just what happens (DX c A. Show by example that (a x b xc* a with i, j and k:) B. Find a vector which is perpendicular to every vector parallel to the plane z+y 0. C. Find the line which is the intersection of the planes x + y 0 and 3y-z = 0. D. Explain why the vectors in the following form describe a plane (where both t and s are...
A) Find the x -component of vector
C⃗
B) Find the y -component of vector C⃗
Can you help me in this question? Thanks all.
You are given vectors A= 4.5 i – 6.0 j and B=- 3.6 î+ 7.4 j. A third vector Č lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 15.0.
please help. system is sensitive to answers.
Find the coordinate vector (x]a of the vector x relative to the given basis B. 16 and B = (b, b2} b = b2 -4 -2 -5 28 O A. -64 -196 ов. -32 -64 32 D. 41 5. Find the vector x determined by the given coordinate vector [x]g and the given basis B. -2 -3 -3 -3 -5 -3 - 11 ОВ. хв - 20 18 OA X= 33 - 15...