Q60
\[ P = [ array*20c - 10 \\ - 1 \\ 3 array ]^ T, Q = [ array*20c - 2 \\ - 5 \\ 9 array ]^ T\] and \[ R = [ array*20c 2 \\ - 7 \\ 12 array ]^ T\] are three vectors. An orthogonal set of vectors having a span that contains P, Q, R is
{\text{P}} = {\left[ {\begin{array}{*{20}{c}}
{ - 10} \\
{ - 1} \\
3
\end{array}} \right]^{\text{T}}},{\text{Q}} = {\left[ {\begin{array}{*{20}{c}}
{ - 2} \\
{ - 5} \\
9
\end{array}} \right]^{\text{T}}} and {\text{R}} = {\left[ {\begin{array}{*{20}{c}}
2 \\
{ - 7} \\
{12}
\end{array}} \right]^{\text{T}}} are three vectors. An orthogonal set of vectors having a span that contains P, Q, R is
A.
\left[ {\begin{array}{*{20}{c}}
{ - 6} \\
{ - 3} \\
6
\end{array}} \right]\left[ {\begin{array}{*{20}{c}}
4 \\
{ - 2} \\
3
\end{array}} \right]
AnswerB.
\left[ {\begin{array}{*{20}{c}}
{ - 4} \\
2 \\
4
\end{array}} \right]\left[ {\begin{array}{*{20}{c}}
5 \\
7 \\
{ - 11}
\end{array}} \right]\left[ {\begin{array}{*{20}{c}}
8 \\
2 \\
{ - 3}
\end{array}} \right]
C.
\left[ {\begin{array}{*{20}{c}}
6 \\
7 \\
{ - 1}
\end{array}} \right]\left[ {\begin{array}{*{20}{c}}
{ - 3} \\
2 \\
{ - 2}
\end{array}} \right]\left[ {\begin{array}{*{20}{c}}
3 \\
9 \\
{ - 4}
\end{array}} \right]
D.
\left[ {\begin{array}{*{20}{c}}
4 \\
3 \\
{11}
\end{array}} \right]\left[ {\begin{array}{*{20}{c}}
1 \\
{31} \\
3
\end{array}} \right]\left[ {\begin{array}{*{20}{c}}
5 \\
3 \\
4
\end{array}} \right]
Answer: Option A
Solution
Answer: Option A
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