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Bài tập 25 trang 119 SGK Hình học 12 NC

Bài tập 25 trang 119 SGK Hình học 12 NC

Cho đường thẳng

\(d:\left\{ {\begin{array}{*{20}{c}}
{x = 2t}\\
{y = 1 - t}\\
{z = 2 + t.}
\end{array}} \right.\)

Phương trình nào sau đây cũng là phương trình của đường thẳng d?

(A) \(\left\{ {\begin{array}{*{20}{c}}
{x = 2 - 2t}\\
{y =  - t}\\
{z = 3 + t}
\end{array}} \right.\)

(B) \(\left\{ {\begin{array}{*{20}{c}}
{x = 4 - 2t}\\
{y =  - 1 + t}\\
{z = 4 - t}
\end{array}} \right.\)

(C) \(\left\{ {\begin{array}{*{20}{c}}
{x = 4 + 2t}\\
{y = 1 - t}\\
{z = 4 + t}
\end{array}} \right.\)

(D) \(\left\{ {\begin{array}{*{20}{c}}
{x = 2t}\\
{y = 1 + t}\\
{z = 2 + t}
\end{array}} \right.\)

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Hướng dẫn giải chi tiết

d đi qua M(4,−1,4) có vectơ chỉ phương \(\vec u = \left( {2; - 1;1} \right).\)

Chọn (B).

-- Mod Toán 12 HỌC247

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