If `vec r.vec a=vec r.vec b=vec r.vec c=0` where a, b, c are non-coplanar, then

Question

If `vec r.vec a=vec r.vec b=vec r.vec c=0` where a, b, c are non-coplanar, then

If `vec r.vec a=vec r.vec b=vec r.vec c=0` where a, b, c are non-coplanar, then
A. coplanar with a, b, c
B. parallel to `a+b+c`
C. parallel to `b xx c+c xx a+axxb`
D. parallel to `(a xx b) xx c`

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 - C
Now,l `r*a=r*b`
`implies r((a-b)=0`
Similarly, `r*(b-c)=0`
Since, r is parallel to `(a-b)xx(b-c).`
So, r is parallel to `axx b +c xx a +b xx c`

4 views Answered 2023-02-05 15:29