Are the projection lengths of the mutual vector projections equal?
Is the projection of $U$ on $X$-axis (i.e $a$) equal to the projection of $X$ on $U$ (i.e $b$)?
Does this apply to all the vector projections? I can see that there is a symmetry in the intersection point of two projections which implies that both the lengths are same but somewhere, I have a feeling that I have not understood the concept quite clearly.
Can anybody please elaborate on this?
vector-spaces vectors
edited Nov 26 at 2:24
Saad
19.7k92252
asked Nov 26 at 2:06
MaverickEyedea
61
add a comment |
Is the projection of $U$ on $X$-axis (i.e $a$) equal to the projection of $X$ on $U$ (i.e $b$)?
Does this apply to all the vector projections? I can see that there is a symmetry in the intersection point of two projections which implies that both the lengths are same but somewhere, I have a feeling that I have not understood the concept quite clearly.
Can anybody please elaborate on this?
vector-spaces vectors
edited Nov 26 at 2:24
Saad
19.7k92252
asked Nov 26 at 2:06
MaverickEyedea
61
Look for congruent triangles.
– amd
Nov 26 at 2:59
add a comment |
Is the projection of $U$ on $X$-axis (i.e $a$) equal to the projection of $X$ on $U$ (i.e $b$)?
Does this apply to all the vector projections? I can see that there is a symmetry in the intersection point of two projections which implies that both the lengths are same but somewhere, I have a feeling that I have not understood the concept quite clearly.
Can anybody please elaborate on this?
vector-spaces vectors
edited Nov 26 at 2:24
Saad
19.7k92252
asked Nov 26 at 2:06
MaverickEyedea
61
Is the projection of $U$ on $X$-axis (i.e $a$) equal to the projection of $X$ on $U$ (i.e $b$)?
Does this apply to all the vector projections? I can see that there is a symmetry in the intersection point of two projections which implies that both the lengths are same but somewhere, I have a feeling that I have not understood the concept quite clearly.
Can anybody please elaborate on this?
vector-spaces vectors
vector-spaces vectors
edited Nov 26 at 2:24
Saad
19.7k92252
asked Nov 26 at 2:06
MaverickEyedea
61
edited Nov 26 at 2:24
Saad
19.7k92252
asked Nov 26 at 2:06
MaverickEyedea
61
edited Nov 26 at 2:24
Saad
19.7k92252
edited Nov 26 at 2:24
Saad
19.7k92252
edited Nov 26 at 2:24
Saad
19.7k92252
19.7k92252
asked Nov 26 at 2:06
MaverickEyedea
61
asked Nov 26 at 2:06
MaverickEyedea
61
asked Nov 26 at 2:06
MaverickEyedea
61
61
Look for congruent triangles.
– amd
Nov 26 at 2:59
add a comment |
Look for congruent triangles.
– amd
Nov 26 at 2:59
Look for congruent triangles.
– amd
Nov 26 at 2:59
Look for congruent triangles.
– amd
Nov 26 at 2:59
add a comment |
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Look for congruent triangles.
– amd
Nov 26 at 2:59