87959 If \(\overrightarrow{\mathbf{c}}=3 \vec{a}-2 \vec{b}\), then the value of \(\vec{a} \cdot(\vec{b} \times \vec{c})=\)

88097 If \(|a|=2,|b|=5\) and \(|a \times b|=8\), then \(|a . b|\) is equal to

87968 If \(\vec{a} \cdot \vec{b}=-|\vec{a}||\vec{b}|\), then the angle between \(\vec{a}\) and \(\vec{b}\) is

88098 \(a, b, c\) are three vectors such that \(a+b+c=0\), \(|a|=1,|b|=2,|c|=3\), then \(a . b+b . c+c . a\) is equal to

88119 For any vector \(\vec{a}\) the value of \((\overrightarrow{\mathbf{a}} \times \mathbf{i})^2+(\overrightarrow{\mathbf{a}} \times \hat{\mathbf{j}})^2+(\overrightarrow{\mathbf{a}} \times \hat{\mathbf{k}})^2\) is equal to

87959 If \(\overrightarrow{\mathbf{c}}=3 \vec{a}-2 \vec{b}\), then the value of \(\vec{a} \cdot(\vec{b} \times \vec{c})=\)

88097 If \(|a|=2,|b|=5\) and \(|a \times b|=8\), then \(|a . b|\) is equal to

87968 If \(\vec{a} \cdot \vec{b}=-|\vec{a}||\vec{b}|\), then the angle between \(\vec{a}\) and \(\vec{b}\) is

88098 \(a, b, c\) are three vectors such that \(a+b+c=0\), \(|a|=1,|b|=2,|c|=3\), then \(a . b+b . c+c . a\) is equal to

88119 For any vector \(\vec{a}\) the value of \((\overrightarrow{\mathbf{a}} \times \mathbf{i})^2+(\overrightarrow{\mathbf{a}} \times \hat{\mathbf{j}})^2+(\overrightarrow{\mathbf{a}} \times \hat{\mathbf{k}})^2\) is equal to

87959 If \(\overrightarrow{\mathbf{c}}=3 \vec{a}-2 \vec{b}\), then the value of \(\vec{a} \cdot(\vec{b} \times \vec{c})=\)

88097 If \(|a|=2,|b|=5\) and \(|a \times b|=8\), then \(|a . b|\) is equal to

87968 If \(\vec{a} \cdot \vec{b}=-|\vec{a}||\vec{b}|\), then the angle between \(\vec{a}\) and \(\vec{b}\) is

88098 \(a, b, c\) are three vectors such that \(a+b+c=0\), \(|a|=1,|b|=2,|c|=3\), then \(a . b+b . c+c . a\) is equal to

88119 For any vector \(\vec{a}\) the value of \((\overrightarrow{\mathbf{a}} \times \mathbf{i})^2+(\overrightarrow{\mathbf{a}} \times \hat{\mathbf{j}})^2+(\overrightarrow{\mathbf{a}} \times \hat{\mathbf{k}})^2\) is equal to

87959 If \(\overrightarrow{\mathbf{c}}=3 \vec{a}-2 \vec{b}\), then the value of \(\vec{a} \cdot(\vec{b} \times \vec{c})=\)

88097 If \(|a|=2,|b|=5\) and \(|a \times b|=8\), then \(|a . b|\) is equal to

87968 If \(\vec{a} \cdot \vec{b}=-|\vec{a}||\vec{b}|\), then the angle between \(\vec{a}\) and \(\vec{b}\) is

88098 \(a, b, c\) are three vectors such that \(a+b+c=0\), \(|a|=1,|b|=2,|c|=3\), then \(a . b+b . c+c . a\) is equal to

88119 For any vector \(\vec{a}\) the value of \((\overrightarrow{\mathbf{a}} \times \mathbf{i})^2+(\overrightarrow{\mathbf{a}} \times \hat{\mathbf{j}})^2+(\overrightarrow{\mathbf{a}} \times \hat{\mathbf{k}})^2\) is equal to

87959 If \(\overrightarrow{\mathbf{c}}=3 \vec{a}-2 \vec{b}\), then the value of \(\vec{a} \cdot(\vec{b} \times \vec{c})=\)

88097 If \(|a|=2,|b|=5\) and \(|a \times b|=8\), then \(|a . b|\) is equal to

87968 If \(\vec{a} \cdot \vec{b}=-|\vec{a}||\vec{b}|\), then the angle between \(\vec{a}\) and \(\vec{b}\) is

88098 \(a, b, c\) are three vectors such that \(a+b+c=0\), \(|a|=1,|b|=2,|c|=3\), then \(a . b+b . c+c . a\) is equal to

88119 For any vector \(\vec{a}\) the value of \((\overrightarrow{\mathbf{a}} \times \mathbf{i})^2+(\overrightarrow{\mathbf{a}} \times \hat{\mathbf{j}})^2+(\overrightarrow{\mathbf{a}} \times \hat{\mathbf{k}})^2\) is equal to