If `|veca|=2 and |vecb|=3 and veca.vecb=0, " then " (vecaxx(vecaxx(vecaxx(vecaxxvecb))))` is equal to the given diagonal is `vecc = 4 hatk = 8hatk` th

Question

If `|veca|=2 and |vecb|=3 and veca.vecb=0, " then " (vecaxx(vecaxx(vecaxx(vecaxxvecb))))` is equal to the given diagonal is `vecc = 4 hatk = 8hatk` th

If `|veca|=2 and |vecb|=3 and veca.vecb=0, " then " (vecaxx(vecaxx(vecaxx(vecaxxvecb))))` is equal to the given diagonal is `vecc = 4 hatk = 8hatk` then , the volume of a parallelpiped is
A. `48 hatb`
B. `-48 hatb`
C. `48 hata`
D. `-48 hata`

Monjur Alahi

4 views

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

Correct Answer - a
`(vecaxx (veca xx (veca xx (vecaxx vecb ))))`
` = (vecaxx (veca xx ((veca .vecb)veca -(veca .vecb)vecb)))`
`(veca xx (veca xx (-4vecb)))`
` -4 (veca xx (veca xx vecb))`
` -4 ((veca xx vecb) veca - (veca.veca)vecb)`
` -4 (-4vecb) = 16 vecb = 48 vecb`

4 views Answered 2023-02-05 15:29