NIMCET 2020 Question Paper with solutions

Question : 30 of 120

Marks: +1, -0

a↖{r},b↖{r},c↖{r}

are three non - coplanar vectors, then

a↖{r}+b↖{r}+c↖{r}.[(a↖{r}+b↖{r})'(a↖{r}+c↖{r})]=

Solution:

a↖{→}+b↖{→}+c↖{→}.((a+b)×(a+c))

⇒|\table 1,1,1;1,1,0;1,0,1|[abc]

⇒|\table 0,0,1;1,1,0;1,0,1|[abc]

⇒-[abc]

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