Consider three vectors \( \vec{p}=\hat{i}+\hat{j}+\hat{k}, \vec{q}=2 \hat{i}+4 \hat{j}-\hat{k} \... VIDEO
Consider three vectors \( \vec{p}=\hat{i}+\hat{j}+\hat{k}, \vec{q}=2 \hat{i}+4 \hat{j}-\hat{k} \) and \( \vec{r}=\hat{i}+\hat{j}+3 \hat{k} \) and let \( \vec{s} \) be a unit vector, then
\( \mathrm{P} \)
\( \overrightarrow{\mathrm{p}}, \overrightarrow{\mathrm{q}} \) and \( \overrightarrow{\mathrm{r}} \) are
W
(A) linearly dependent
(B) can form the sides of a possible triangle
(C) such that the vectors \( (\overrightarrow{\mathrm{q}}-\overrightarrow{\mathrm{r}}) \) is orthogonal to \( \overrightarrow{\mathrm{p}} \)
(D) such that each one of these can be expressed as a linear combination of the other two
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