Updated On: 24-6-2021
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|00:00 - 00:59||question is show that the area of the triangle having what is 2000 X1 Y1 Z1 and X2 Y2 Z2 is this right so let's suppose the triangle having figure like this and having coordinates as 000 X1 Y1 comma Z1 and X2 Y2 Z to write let's poses vertices a b and this is so the adjacent sides ab and BC will have vector equation as a b will be o b minus a position vector of being an expression vector of a position vector of B is X and Y 1 Z1 Undertaker x1ii kept + Y1 J cap + K cap - 4000 so we can write 80 ICAP +|
|01:00 - 01:59||news J cap + Hero ke cap it will come out to be a b vector will be at the managerial bx1 ICAP + Y1 J cap + that one ke cap write an vector BC will be BC will be o c minus a minus b right so here it is X2 Y2 Z2 o b is X1 Y1 Z1 so final answer will be X2 - X1 ICAP + Y2 - Y1 J cap + Z 2 - Z1 cake not coming to the formula we have the area of triangle ABC will be area of triangle ABC will be half of mode of cross product|
|02:00 - 02:59||ab cross BC write a b cross busy so using this formula of area we will find out are vectors a b cross busy so ab cross b c can be given by determinant of I J&K right and J and K A B is X and Y and Z 1 x one by one that one a DC is X2 - 61 vi to minus Y and Z 2 - Z1 Lite so we will find out a b cross BP so it'll be I get into it will be blocked in this column documents will give us y12 jet2 manage and 1 by 1 and 2 Z 2|
|03:00 - 03:59||- Z1 - 2 - 72 Z1 - Y2 minus 1 into Z1 services I part 10 - J cap into x square into this term 1 and 2 Z 2 - Z1 then minus 1 into x 2 - 61 right and then + K cap it will be X1 into white to minus 1 by 1 minus y 1 into x 2 - X right no expanding all the brackets will give us the city Y1 Z2 Y1 Z 2 - Y1 Z1 then we have mine 7 vi to that means minus y to Z 1 minus minus plus Y1 Z1 Pro Plus Y1 that one ICAP then we have - of this|
|04:00 - 04:59||item that is x1z 2 - x1z 1 - X to Z1 Plus x1z One of J cap then we have + 61 vi to minus 1 by 1 minus x to Y 1 + X1 Y1 cake app we can see some similar items are there like - Viva Z1 Plus why was that were having opposite signs and your also - 1 Oz oneplus 6 Oz 1 and a minus 3 Y + X1 Y1 so they will be cancelled out because they are Saman having opposite signs and were left with only these terms right so area of a PC will become area triangle ABC will become a half times of half times of magnitude of Ab cross BC right|
|05:00 - 05:59||magnitude will be the route of coefficients squaring the coefficients of J&K right so here it will be half of root under some of the coefficients of I J&K so here it is Y1 Z2 MI Y2 Z1 so why one Z2 - y2z one whose square + it will be - of x1z 2 - of x1z 2 - of minus plus x to Z 1 whole square then + x 12 x 12 and this is why 10 - X to Y 1 whole square right now we can match it with the given equation which is given|
|06:00 - 06:59||to be like why was at 2 months y2z one of the first term is Y1 Z2 Manasvi to Z1 than the second Thomas Z 2 - 2 X 1 + X to Z1 so - Z 1 X 2 + 2 X 1 write and here also we can see here we have - with that to so we can take - common right then it will be in this phone right then we have X1 Y2 and xy one so X1 y2x so hair favourite 1 - common write it will become Plus and it will become minus and minus A square will become positive so we are not writing it so this is what our final answer thank you|
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