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CBSE Class 12-commerce Answered

Please let me know the answer for the question attached below  
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Asked by navyanshastry | 18 Mar, 2020, 12:35: PM
answered-by-expert Expert Answer
straight r with rightwards arrow on top equals straight a with rightwards harpoon with barb upwards on top plus straight lambda straight b with rightwards arrow on top
let space it space pass space through space straight A open parentheses straight x subscript 1 comma straight y subscript 1 comma straight z subscript 1 close parentheses comma space parallel space to space straight b with rightwards arrow on top
straight r with rightwards arrow on top equals straight b with rightwards harpoon with barb upwards on top plus straight mu straight a with rightwards arrow on top
let space it space pass space through space straight B open parentheses straight x subscript 2 comma straight y subscript 2 comma straight z subscript 2 close parentheses comma space parallel space to space straight a with rightwards arrow on top
straight a with rightwards harpoon with barb upwards on top equals straight x subscript 1 straight i with hat on top plus straight y subscript 1 straight j with hat on top plus straight z subscript 1 straight k with hat on top
straight b with rightwards harpoon with barb upwards on top equals straight x subscript 2 straight i with hat on top plus straight y subscript 2 straight j with hat on top plus straight z subscript 2 straight k with hat on top
top enclose BA equals open parentheses straight x subscript 1 minus straight x subscript 2 close parentheses straight i with hat on top plus open parentheses straight y subscript 1 minus straight y subscript 2 close parentheses straight j with hat on top plus open parentheses straight z subscript 1 minus straight z subscript 2 close parentheses straight k with hat on top
lines space will space be space co space planar space if space
top enclose BA. open parentheses straight a with rightwards harpoon with barb upwards on top cross times straight b with rightwards harpoon with barb upwards on top close parentheses equals 0
open vertical bar table row cell open parentheses straight x subscript 1 minus straight x subscript 2 close parentheses end cell cell open parentheses straight y subscript 1 minus straight y subscript 2 close parentheses end cell cell open parentheses straight z subscript 1 minus straight z subscript 2 close parentheses end cell row cell straight x subscript 1 end cell cell straight y subscript 1 end cell cell straight z subscript 1 end cell row cell straight x subscript 2 end cell cell straight y subscript 2 end cell cell straight z subscript 2 end cell end table close vertical bar
equals open vertical bar table row cell open parentheses straight x subscript 1 close parentheses end cell cell open parentheses straight y subscript 1 close parentheses end cell cell open parentheses straight z subscript 1 close parentheses end cell row cell straight x subscript 1 end cell cell straight y subscript 1 end cell cell straight z subscript 1 end cell row cell straight x subscript 2 end cell cell straight y subscript 2 end cell cell straight z subscript 2 end cell end table close vertical bar minus open vertical bar table row cell open parentheses straight x subscript 2 close parentheses end cell cell open parentheses straight y subscript 2 close parentheses end cell cell open parentheses straight z subscript 2 close parentheses end cell row cell straight x subscript 1 end cell cell straight y subscript 1 end cell cell straight z subscript 1 end cell row cell straight x subscript 2 end cell cell straight y subscript 2 end cell cell straight z subscript 2 end cell end table close vertical bar
equals 0 plus 0
equals 0
hence space coplanar comma space so space straight a space plane space will space pass space through space these space two space lines space
having space normal space given space by space left parenthesis straight a with rightwards harpoon with barb upwards on top cross times straight b with rightwards harpoon with barb upwards on top right parenthesis
Hence space plane space equation space is space given space by space straight r with rightwards arrow on top. left parenthesis straight a with rightwards harpoon with barb upwards on top cross times straight b with rightwards harpoon with barb upwards on top right parenthesis equals 0
Answered by Arun | 19 Mar, 2020, 07:09: PM
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