I need help finding out how to create a parametric equation given a point and where its orthogonal
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The equation X(t)=a+td is the parametric equation of a line through the point P:(2,−3,1). The parameter t represents distance from the point P, directed so that the i component of d is positive. We know that the line is orthogonal to the plane with equation 7x+8y−10z=−2.
a=_i+_j+_k
and
b=_i+_j+_k
I have already found the a which is the point given but i cant seem to figure out what is the vector that is orthogonal to the plane
calculus
asked Sep 8 at 5:05
user591094
61
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The equation X(t)=a+td is the parametric equation of a line through the point P:(2,−3,1). The parameter t represents distance from the point P, directed so that the i component of d is positive. We know that the line is orthogonal to the plane with equation 7x+8y−10z=−2.
a=_i+_j+_k
and
b=_i+_j+_k
I have already found the a which is the point given but i cant seem to figure out what is the vector that is orthogonal to the plane
calculus
asked Sep 8 at 5:05
user591094
61
If you consider i and j as vextors, I suggest writing them as i and j
– Mohammad Zuhair Khan
Sep 8 at 5:11
@MohammadZuhairKhan please explain by what you mean? Ive found that the point P is the answer for a but b i cant seem to figure out
– user591094
Sep 8 at 5:36
I mean that vectors are generally written in bold to avoid confusion. Like a = 3i +4 j while $a=5$. I am sorry I was not helpful but I was just giving tips on improving your question's readability.
– Mohammad Zuhair Khan
Sep 8 at 5:59
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
The equation X(t)=a+td is the parametric equation of a line through the point P:(2,−3,1). The parameter t represents distance from the point P, directed so that the i component of d is positive. We know that the line is orthogonal to the plane with equation 7x+8y−10z=−2.
a=_i+_j+_k
and
b=_i+_j+_k
I have already found the a which is the point given but i cant seem to figure out what is the vector that is orthogonal to the plane
calculus
asked Sep 8 at 5:05
user591094
61
The equation X(t)=a+td is the parametric equation of a line through the point P:(2,−3,1). The parameter t represents distance from the point P, directed so that the i component of d is positive. We know that the line is orthogonal to the plane with equation 7x+8y−10z=−2.
a=_i+_j+_k
and
b=_i+_j+_k
I have already found the a which is the point given but i cant seem to figure out what is the vector that is orthogonal to the plane
calculus
calculus
asked Sep 8 at 5:05
user591094
61
asked Sep 8 at 5:05
user591094
61
asked Sep 8 at 5:05
user591094
61
asked Sep 8 at 5:05
user591094
61
asked Sep 8 at 5:05
user591094
61
61
If you consider i and j as vextors, I suggest writing them as i and j
– Mohammad Zuhair Khan
Sep 8 at 5:11
@MohammadZuhairKhan please explain by what you mean? Ive found that the point P is the answer for a but b i cant seem to figure out
– user591094
Sep 8 at 5:36
I mean that vectors are generally written in bold to avoid confusion. Like a = 3i +4 j while $a=5$. I am sorry I was not helpful but I was just giving tips on improving your question's readability.
– Mohammad Zuhair Khan
Sep 8 at 5:59
add a comment |Â
If you consider i and j as vextors, I suggest writing them as i and j
– Mohammad Zuhair Khan
Sep 8 at 5:11
@MohammadZuhairKhan please explain by what you mean? Ive found that the point P is the answer for a but b i cant seem to figure out
– user591094
Sep 8 at 5:36
I mean that vectors are generally written in bold to avoid confusion. Like a = 3i +4 j while $a=5$. I am sorry I was not helpful but I was just giving tips on improving your question's readability.
– Mohammad Zuhair Khan
Sep 8 at 5:59
If you consider i and j as vextors, I suggest writing them as i and j
– Mohammad Zuhair Khan
Sep 8 at 5:11
If you consider i and j as vextors, I suggest writing them as i and j
– Mohammad Zuhair Khan
Sep 8 at 5:11
@MohammadZuhairKhan please explain by what you mean? Ive found that the point P is the answer for a but b i cant seem to figure out
– user591094
Sep 8 at 5:36
@MohammadZuhairKhan please explain by what you mean? Ive found that the point P is the answer for a but b i cant seem to figure out
– user591094
Sep 8 at 5:36
I mean that vectors are generally written in bold to avoid confusion. Like a = 3i +4 j while $a=5$. I am sorry I was not helpful but I was just giving tips on improving your question's readability.
– Mohammad Zuhair Khan
Sep 8 at 5:59
I mean that vectors are generally written in bold to avoid confusion. Like a = 3i +4 j while $a=5$. I am sorry I was not helpful but I was just giving tips on improving your question's readability.
– Mohammad Zuhair Khan
Sep 8 at 5:59
add a comment |Â
1 Answer
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In the equation $$alpha x+beta y+gamma z = delta,$$ $$(alpha,beta,gamma)$$ are coordinates of a vector orthogonal to the plane.
The line is orthogonal to that plane.
Can you conclude now?
answered Sep 8 at 8:38
Maam
45419
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
In the equation $$alpha x+beta y+gamma z = delta,$$ $$(alpha,beta,gamma)$$ are coordinates of a vector orthogonal to the plane.
The line is orthogonal to that plane.
Can you conclude now?
answered Sep 8 at 8:38
Maam
45419
add a comment |Â
up vote
0
down vote
In the equation $$alpha x+beta y+gamma z = delta,$$ $$(alpha,beta,gamma)$$ are coordinates of a vector orthogonal to the plane.
The line is orthogonal to that plane.
Can you conclude now?
answered Sep 8 at 8:38
Maam
45419
add a comment |Â
up vote
0
down vote
up vote
0
down vote
In the equation $$alpha x+beta y+gamma z = delta,$$ $$(alpha,beta,gamma)$$ are coordinates of a vector orthogonal to the plane.
The line is orthogonal to that plane.
Can you conclude now?
answered Sep 8 at 8:38
Maam
45419
In the equation $$alpha x+beta y+gamma z = delta,$$ $$(alpha,beta,gamma)$$ are coordinates of a vector orthogonal to the plane.
The line is orthogonal to that plane.
Can you conclude now?
answered Sep 8 at 8:38
Maam
45419
answered Sep 8 at 8:38
Maam
45419
answered Sep 8 at 8:38
Maam
45419
answered Sep 8 at 8:38
Maam
45419
45419
add a comment |Â
add a comment |Â
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If you consider i and j as vextors, I suggest writing them as i and j
– Mohammad Zuhair Khan
Sep 8 at 5:11
@MohammadZuhairKhan please explain by what you mean? Ive found that the point P is the answer for a but b i cant seem to figure out
– user591094
Sep 8 at 5:36
I mean that vectors are generally written in bold to avoid confusion. Like a = 3i +4 j while $a=5$. I am sorry I was not helpful but I was just giving tips on improving your question's readability.
– Mohammad Zuhair Khan
Sep 8 at 5:59