If `vecu,vecv and vecw` are three non coplanar vectors then `(vecu+vecv-vecw).(vecu-vecc)xx(vecv-vecw)` equals (A) `vecu.vecvxxvecw` (B) `vecu.vecwxxv

Question

If `vecu,vecv and vecw` are three non coplanar vectors then `(vecu+vecv-vecw).(vecu-vecc)xx(vecv-vecw)` equals (A) `vecu.vecvxxvecw` (B) `vecu.vecwxxv

If `vecu,vecv and vecw` are three non coplanar vectors then `(vecu+vecv-vecw).(vecu-vecc)xx(vecv-vecw)` equals (A) `vecu.vecvxxvecw` (B) `vecu.vecwxxvecv` (C) `3vecu.vecuxxvecw` (D) 0

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

`(vecu+vecv-vecw).(vecu-vecv)xx(vecv-vecw)=)(vecu+vecv-vecw).(vecuxxvecv-vecuxxvecw-vecvxxvecv+vecvxxvecw)`
`=(vecu+vecv-vecw).(vecuxxvecv-vecuxxvecw+vecvxxvecw)`
`= 0-0+vecu.(vecvxxvecw)+0-vecv.(vecuxxvecw)+0-vecw.(vecuxxvecv)+0-0`
`[vecu vecv vecw]+[vecv vecw vecu] - [vecwvecuvecv]=vecu.(vecvxxvecw)`

4 views Answered 2023-02-05 15:29