87976 The two vectors \(\vec{a}=2 \hat{i}+\hat{j}+3 \hat{k}, \vec{b}=4 \hat{i}-\lambda \hat{j}+6 \hat{k}\) are parallel if \(\lambda\) is

87977 If \(\vec{a}=3 \hat{i}-5 \hat{j}\) and \(\vec{b}=6 \hat{i}+3 \hat{j}\) are two vectors and \(\overrightarrow{\mathbf{c}}\) is a vector such that \(\overrightarrow{\mathbf{c}}=\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{b}}\), then \(|\overrightarrow{\mathbf{a}}|:|\overrightarrow{\mathbf{b}}|:|\overrightarrow{\mathbf{c}}|=\)

87978 If \(\overrightarrow{\mathbf{a}}+\overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{c}}=\overrightarrow{\mathbf{0}},|\overrightarrow{\mathrm{a}}|=3,|\overrightarrow{\mathrm{b}}|=5,|\overrightarrow{\mathbf{c}}|=7\), then the angle between \(\vec{a}\) and \(\vec{b}\) is

87979 The non-zero vectors \(\vec{a}, \vec{b}\) and \(\vec{c}\) are related by \(\vec{a}=8 \vec{b}, \vec{c}=-7 \vec{b}\). Then the angle between \(\overrightarrow{\mathbf{a}}\) and \(\overrightarrow{\mathbf{c}}\) is

87976 The two vectors \(\vec{a}=2 \hat{i}+\hat{j}+3 \hat{k}, \vec{b}=4 \hat{i}-\lambda \hat{j}+6 \hat{k}\) are parallel if \(\lambda\) is

87977 If \(\vec{a}=3 \hat{i}-5 \hat{j}\) and \(\vec{b}=6 \hat{i}+3 \hat{j}\) are two vectors and \(\overrightarrow{\mathbf{c}}\) is a vector such that \(\overrightarrow{\mathbf{c}}=\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{b}}\), then \(|\overrightarrow{\mathbf{a}}|:|\overrightarrow{\mathbf{b}}|:|\overrightarrow{\mathbf{c}}|=\)

87978 If \(\overrightarrow{\mathbf{a}}+\overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{c}}=\overrightarrow{\mathbf{0}},|\overrightarrow{\mathrm{a}}|=3,|\overrightarrow{\mathrm{b}}|=5,|\overrightarrow{\mathbf{c}}|=7\), then the angle between \(\vec{a}\) and \(\vec{b}\) is

87979 The non-zero vectors \(\vec{a}, \vec{b}\) and \(\vec{c}\) are related by \(\vec{a}=8 \vec{b}, \vec{c}=-7 \vec{b}\). Then the angle between \(\overrightarrow{\mathbf{a}}\) and \(\overrightarrow{\mathbf{c}}\) is

87976 The two vectors \(\vec{a}=2 \hat{i}+\hat{j}+3 \hat{k}, \vec{b}=4 \hat{i}-\lambda \hat{j}+6 \hat{k}\) are parallel if \(\lambda\) is

87977 If \(\vec{a}=3 \hat{i}-5 \hat{j}\) and \(\vec{b}=6 \hat{i}+3 \hat{j}\) are two vectors and \(\overrightarrow{\mathbf{c}}\) is a vector such that \(\overrightarrow{\mathbf{c}}=\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{b}}\), then \(|\overrightarrow{\mathbf{a}}|:|\overrightarrow{\mathbf{b}}|:|\overrightarrow{\mathbf{c}}|=\)

87978 If \(\overrightarrow{\mathbf{a}}+\overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{c}}=\overrightarrow{\mathbf{0}},|\overrightarrow{\mathrm{a}}|=3,|\overrightarrow{\mathrm{b}}|=5,|\overrightarrow{\mathbf{c}}|=7\), then the angle between \(\vec{a}\) and \(\vec{b}\) is

87979 The non-zero vectors \(\vec{a}, \vec{b}\) and \(\vec{c}\) are related by \(\vec{a}=8 \vec{b}, \vec{c}=-7 \vec{b}\). Then the angle between \(\overrightarrow{\mathbf{a}}\) and \(\overrightarrow{\mathbf{c}}\) is

87976 The two vectors \(\vec{a}=2 \hat{i}+\hat{j}+3 \hat{k}, \vec{b}=4 \hat{i}-\lambda \hat{j}+6 \hat{k}\) are parallel if \(\lambda\) is

87977 If \(\vec{a}=3 \hat{i}-5 \hat{j}\) and \(\vec{b}=6 \hat{i}+3 \hat{j}\) are two vectors and \(\overrightarrow{\mathbf{c}}\) is a vector such that \(\overrightarrow{\mathbf{c}}=\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{b}}\), then \(|\overrightarrow{\mathbf{a}}|:|\overrightarrow{\mathbf{b}}|:|\overrightarrow{\mathbf{c}}|=\)

87978 If \(\overrightarrow{\mathbf{a}}+\overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{c}}=\overrightarrow{\mathbf{0}},|\overrightarrow{\mathrm{a}}|=3,|\overrightarrow{\mathrm{b}}|=5,|\overrightarrow{\mathbf{c}}|=7\), then the angle between \(\vec{a}\) and \(\vec{b}\) is

87979 The non-zero vectors \(\vec{a}, \vec{b}\) and \(\vec{c}\) are related by \(\vec{a}=8 \vec{b}, \vec{c}=-7 \vec{b}\). Then the angle between \(\overrightarrow{\mathbf{a}}\) and \(\overrightarrow{\mathbf{c}}\) is