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Question 1302e
Vectors II: Lines and Planes
Foot of Perpendicular and Reflection in Lines
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The line
l
{l}
l
is given by
l
:
r
=
(
−
2
−
2
−
4
)
+
λ
(
2
−
4
−
3
)
,
λ
∈
R
.
l: \mathbf{r} = \begin{pmatrix} - 2 \\ - 2 \\ - 4 \end{pmatrix} + \lambda \begin{pmatrix} 2 \\ - 4 \\ - 3 \end{pmatrix}, \; \lambda \in \mathbb{R}.
l
:
r
=
−
2
−
2
−
4
+
λ
2
−
4
−
3
,
λ
∈
R
.
Find the coordinates of the point,
B
′
,
{B',}
B
′
,
obtained when the point
B
(
−
15
,
−
3
,
8
)
{B \left( - 15, - 3, 8 \right)}
B
(
−
15
,
−
3
,
8
)
is reflected in the line
l
.
{l.}
l
.
Attempt
B
′
{B'}
B
′
(
{\Big(}
(
,
,
)
{\Big)}
)
Answer
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