| [ |
| { |
| "file_id": "UYe98CcxPbs", |
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| "text": "where can I find a complete derivation of the formula z=z0 + a(x-x0) + b(y-y0) using parametric equations as he suggested at 8:38? I tried to do what he said but no luck!" |
| }, |
| { |
| "file_id": "UYe98CcxPbs", |
| "query_id": 2, |
| "timestamp": 1684480921899.0, |
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| 52 |
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| "names": [ |
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| "text": "08:10 how do you express the plan formed by two lines in general? " |
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| "file_id": "UYe98CcxPbs", |
| "query_id": 3, |
| "timestamp": 1684510062486.0, |
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| "text": "why is it the the deviation formula is squared? i know it must be equal to zero." |
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| { |
| "file_id": "UYe98CcxPbs", |
| "query_id": 4, |
| "timestamp": 1684510080674.0, |
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| "names": [ |
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| "text": "Why do we do square deviation, but not ordinary one? I don`t understand the precondition for squares. If anyone can explain, do it, please." |
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| "file_id": "UYe98CcxPbs", |
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| "text": "25:57\nWhy he wrote f(-1,0)?" |
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| "timestamp": 1684510713476.0, |
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| "text": "For z = z0 + a(x-x0) + b(y-y0),\nwouldn't that mean:\n-1(z-z0) + a(x-x0) + b(y-y0) = 0\nso from lecture 4 the normal vector for any f(x,y) tangent plane is <-1, a, b> ?\nI'm missing something about the -1 I'm sure" |
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| "text": "34:58 would using perpendicular distance (instead of vertical distance) make better sense? \n" |
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| "query_id": 12, |
| "timestamp": 1684510931819.0, |
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| "names": [ |
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| "text": "6:34, how is that z=z0 + dz/dx(x-x0) a equation of straight line. y=mx+c is a eqaution of straight line in 2D space. and x = x0 + st is vector form of equaiton in higher dimension. how is the above euqation realted to this? Thanks in advance" |
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| "file_id": "UYe98CcxPbs", |
| "query_id": 1, |
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| "text": "Would any one please explain what did the professor mean between 13:13 and 13:44?" |
| } |
| ] |