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If the vertices of a triangle ABC are
MATHEMATICS · Subjective · A Level · Mathematics · Vectors · Vectors
Problem
15. If the vertices
A
,
B
,
C
\mathrm{A}, \mathrm{B}, \mathrm{C}
A
,
B
,
C
of a triangle ABC are
(
1
,
2
,
3
)
,
(
−
1
,
0
,
0
)
,
(
0
,
1
,
2
)
(1,2,3),(-1,0,0),(0,1,2)
(
1
,
2
,
3
)
,
(
−
1
,
0
,
0
)
,
(
0
,
1
,
2
)
, respectively, then find
∠
A
B
C
\angle \mathrm{ABC}
∠
ABC
. [
∠
A
B
C
\angle \mathrm{ABC}
∠
ABC
is the angle between the vectors
B
A
→
\overrightarrow{\mathrm{BA}}
BA
and
B
C
→
]
\overrightarrow{\mathrm{BC}}]
BC
]
.
Related theory
Dot Product
Vectors
Scalar product
Vector Algebra
Dot product of two vectors
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