Solution verification for problem in vectors.
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Let $V_1=ai+bj,V_2=ci-dj$, vector in $Bbb R^2$, where $a= x^3y/2,b=x+2y,c=2x-3y,d=y$.
$V_1 cdot V_2 = ac-bd$.
$nabla cdot V_1 = 3x^2y/2+2$.
Component of $V_1$ normal to $V_2$: $V_1 - textproj_V_2(V_1 ) = ai+bj - fracac-bdc^2+d^2(ci-dj)$
gradient of a: $(3x^2y/2,x^3/2)$
Is the solution correct?
calculus derivatives vector-analysis
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up vote
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down vote
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Let $V_1=ai+bj,V_2=ci-dj$, vector in $Bbb R^2$, where $a= x^3y/2,b=x+2y,c=2x-3y,d=y$.
$V_1 cdot V_2 = ac-bd$.
$nabla cdot V_1 = 3x^2y/2+2$.
Component of $V_1$ normal to $V_2$: $V_1 - textproj_V_2(V_1 ) = ai+bj - fracac-bdc^2+d^2(ci-dj)$
gradient of a: $(3x^2y/2,x^3/2)$
Is the solution correct?
calculus derivatives vector-analysis
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Let $V_1=ai+bj,V_2=ci-dj$, vector in $Bbb R^2$, where $a= x^3y/2,b=x+2y,c=2x-3y,d=y$.
$V_1 cdot V_2 = ac-bd$.
$nabla cdot V_1 = 3x^2y/2+2$.
Component of $V_1$ normal to $V_2$: $V_1 - textproj_V_2(V_1 ) = ai+bj - fracac-bdc^2+d^2(ci-dj)$
gradient of a: $(3x^2y/2,x^3/2)$
Is the solution correct?
calculus derivatives vector-analysis
Let $V_1=ai+bj,V_2=ci-dj$, vector in $Bbb R^2$, where $a= x^3y/2,b=x+2y,c=2x-3y,d=y$.
$V_1 cdot V_2 = ac-bd$.
$nabla cdot V_1 = 3x^2y/2+2$.
Component of $V_1$ normal to $V_2$: $V_1 - textproj_V_2(V_1 ) = ai+bj - fracac-bdc^2+d^2(ci-dj)$
gradient of a: $(3x^2y/2,x^3/2)$
Is the solution correct?
calculus derivatives vector-analysis
calculus derivatives vector-analysis
asked Aug 30 at 3:00
userly0
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946
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1 Answer
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Yes, your solutions seems correct to me.
Well, I mean, the user asked is the solution correct? I think it is correct. What else can I say?
â Hello_World
Aug 30 at 4:07
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
Yes, your solutions seems correct to me.
Well, I mean, the user asked is the solution correct? I think it is correct. What else can I say?
â Hello_World
Aug 30 at 4:07
add a comment |Â
up vote
1
down vote
Yes, your solutions seems correct to me.
Well, I mean, the user asked is the solution correct? I think it is correct. What else can I say?
â Hello_World
Aug 30 at 4:07
add a comment |Â
up vote
1
down vote
up vote
1
down vote
Yes, your solutions seems correct to me.
Yes, your solutions seems correct to me.
answered Aug 30 at 3:30
Hello_World
3,20321429
3,20321429
Well, I mean, the user asked is the solution correct? I think it is correct. What else can I say?
â Hello_World
Aug 30 at 4:07
add a comment |Â
Well, I mean, the user asked is the solution correct? I think it is correct. What else can I say?
â Hello_World
Aug 30 at 4:07
Well, I mean, the user asked is the solution correct? I think it is correct. What else can I say?
â Hello_World
Aug 30 at 4:07
Well, I mean, the user asked is the solution correct? I think it is correct. What else can I say?
â Hello_World
Aug 30 at 4:07
add a comment |Â
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