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Home » If the vertices A, B, C of a triangle ABC are     ,     ,     respectively, then find     . [     is the angle between the vectors     and     ]
If the vertices A, B, C of a triangle ABC are

    \[(1,2,3)\]

,

    \[(-1,0,0)\]

,

    \[(0,1,2)\]

respectively, then find

    \[\angle ABC\]

. [

    \[\angle ABC\]

is the angle between the vectors

    \[\overrightarrow{BA}\]

and

    \[\overrightarrow{BC}\]

]
CBSE | Class 12 | Exercise 10.3 | Maths | NCERT | Vector Algebra
If the vertices A, B, C of a triangle ABC are

    \[(1,2,3)\]

,

    \[(-1,0,0)\]

,

    \[(0,1,2)\]

respectively, then find

    \[\angle ABC\]

. [

    \[\angle ABC\]

is the angle between the vectors

    \[\overrightarrow{BA}\]

and

    \[\overrightarrow{BC}\]

]

We know

Hence, the angle is

    \[{{\cos }^{-1}}(10/\sqrt{102})\]

.

i

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