87907 If three unit vectors \(\vec{a}, \vec{b}, \vec{c}\) satisfy \(\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}\), then the angle between \(\vec{a}\) and \(\vec{b}\) is

87908 For any vector \(x\), where \(\hat{i}, \hat{j}, \hat{k}\) have their usual meanings the value of \(|\mathbf{x} \times \hat{\mathbf{i}}|^2+|\mathbf{x} \times \hat{\mathbf{j}}|^2+|\mathbf{x} \times \hat{\mathbf{k}}|^2\) where \(\hat{\mathbf{i}}, \hat{\mathbf{j}}, \hat{\mathbf{k}}\) have their usual meanings, is equal to

87909 If \(\mathbf{a}(\vec{\alpha} \times \vec{\beta})+b(\vec{\beta} \times \vec{\gamma})+c(\vec{\gamma} \times \vec{\alpha})=\overrightarrow{0}\) where \(a, b, c\) are non-zero scalars, then the vectors \(\vec{\alpha}, \vec{\beta}, \vec{\gamma}\) are

87910 If \(\vec{a}\) and \(\vec{b}\) are unit vectors such that \(\vec{a}+\vec{b}\) is also a unit vector, then the angle between \(\vec{a}\) and \(\vec{b}\) is

87907 If three unit vectors \(\vec{a}, \vec{b}, \vec{c}\) satisfy \(\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}\), then the angle between \(\vec{a}\) and \(\vec{b}\) is

87908 For any vector \(x\), where \(\hat{i}, \hat{j}, \hat{k}\) have their usual meanings the value of \(|\mathbf{x} \times \hat{\mathbf{i}}|^2+|\mathbf{x} \times \hat{\mathbf{j}}|^2+|\mathbf{x} \times \hat{\mathbf{k}}|^2\) where \(\hat{\mathbf{i}}, \hat{\mathbf{j}}, \hat{\mathbf{k}}\) have their usual meanings, is equal to

87909 If \(\mathbf{a}(\vec{\alpha} \times \vec{\beta})+b(\vec{\beta} \times \vec{\gamma})+c(\vec{\gamma} \times \vec{\alpha})=\overrightarrow{0}\) where \(a, b, c\) are non-zero scalars, then the vectors \(\vec{\alpha}, \vec{\beta}, \vec{\gamma}\) are

87910 If \(\vec{a}\) and \(\vec{b}\) are unit vectors such that \(\vec{a}+\vec{b}\) is also a unit vector, then the angle between \(\vec{a}\) and \(\vec{b}\) is

87907 If three unit vectors \(\vec{a}, \vec{b}, \vec{c}\) satisfy \(\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}\), then the angle between \(\vec{a}\) and \(\vec{b}\) is

87908 For any vector \(x\), where \(\hat{i}, \hat{j}, \hat{k}\) have their usual meanings the value of \(|\mathbf{x} \times \hat{\mathbf{i}}|^2+|\mathbf{x} \times \hat{\mathbf{j}}|^2+|\mathbf{x} \times \hat{\mathbf{k}}|^2\) where \(\hat{\mathbf{i}}, \hat{\mathbf{j}}, \hat{\mathbf{k}}\) have their usual meanings, is equal to

87909 If \(\mathbf{a}(\vec{\alpha} \times \vec{\beta})+b(\vec{\beta} \times \vec{\gamma})+c(\vec{\gamma} \times \vec{\alpha})=\overrightarrow{0}\) where \(a, b, c\) are non-zero scalars, then the vectors \(\vec{\alpha}, \vec{\beta}, \vec{\gamma}\) are

87910 If \(\vec{a}\) and \(\vec{b}\) are unit vectors such that \(\vec{a}+\vec{b}\) is also a unit vector, then the angle between \(\vec{a}\) and \(\vec{b}\) is

87907 If three unit vectors \(\vec{a}, \vec{b}, \vec{c}\) satisfy \(\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}\), then the angle between \(\vec{a}\) and \(\vec{b}\) is

87908 For any vector \(x\), where \(\hat{i}, \hat{j}, \hat{k}\) have their usual meanings the value of \(|\mathbf{x} \times \hat{\mathbf{i}}|^2+|\mathbf{x} \times \hat{\mathbf{j}}|^2+|\mathbf{x} \times \hat{\mathbf{k}}|^2\) where \(\hat{\mathbf{i}}, \hat{\mathbf{j}}, \hat{\mathbf{k}}\) have their usual meanings, is equal to

87909 If \(\mathbf{a}(\vec{\alpha} \times \vec{\beta})+b(\vec{\beta} \times \vec{\gamma})+c(\vec{\gamma} \times \vec{\alpha})=\overrightarrow{0}\) where \(a, b, c\) are non-zero scalars, then the vectors \(\vec{\alpha}, \vec{\beta}, \vec{\gamma}\) are

87910 If \(\vec{a}\) and \(\vec{b}\) are unit vectors such that \(\vec{a}+\vec{b}\) is also a unit vector, then the angle between \(\vec{a}\) and \(\vec{b}\) is