87862 If \(|\vec{a} \times \vec{b}|^2+|\vec{a} \cdot \vec{b}|=144\) and \(|\vec{a}|=6\), then \(\quad|\vec{b}|\) is equal to

87863 If the angle between \(\vec{a}\) and \(\vec{b}\) is \(\frac{2 \pi}{3}\) and the projection of \(\vec{a}\) in the direction of \(\vec{b}\) is -2 , then \(|\overrightarrow{\mathbf{a}}|=\)

87864 If \(\cos \alpha, \cos \beta, \cos \gamma\) are the direction cosines of a vector \(\overrightarrow{\mathbf{a}}\), then \(\cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma\) is equal to

87865 If \(2 \vec{a} \cdot \vec{b}-|\vec{a}| \cdot|\vec{b}|\) then the angle between \(\vec{a} \& \vec{b}\) is

87862 If \(|\vec{a} \times \vec{b}|^2+|\vec{a} \cdot \vec{b}|=144\) and \(|\vec{a}|=6\), then \(\quad|\vec{b}|\) is equal to

87863 If the angle between \(\vec{a}\) and \(\vec{b}\) is \(\frac{2 \pi}{3}\) and the projection of \(\vec{a}\) in the direction of \(\vec{b}\) is -2 , then \(|\overrightarrow{\mathbf{a}}|=\)

87864 If \(\cos \alpha, \cos \beta, \cos \gamma\) are the direction cosines of a vector \(\overrightarrow{\mathbf{a}}\), then \(\cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma\) is equal to

87865 If \(2 \vec{a} \cdot \vec{b}-|\vec{a}| \cdot|\vec{b}|\) then the angle between \(\vec{a} \& \vec{b}\) is

87862 If \(|\vec{a} \times \vec{b}|^2+|\vec{a} \cdot \vec{b}|=144\) and \(|\vec{a}|=6\), then \(\quad|\vec{b}|\) is equal to

87863 If the angle between \(\vec{a}\) and \(\vec{b}\) is \(\frac{2 \pi}{3}\) and the projection of \(\vec{a}\) in the direction of \(\vec{b}\) is -2 , then \(|\overrightarrow{\mathbf{a}}|=\)

87864 If \(\cos \alpha, \cos \beta, \cos \gamma\) are the direction cosines of a vector \(\overrightarrow{\mathbf{a}}\), then \(\cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma\) is equal to

87865 If \(2 \vec{a} \cdot \vec{b}-|\vec{a}| \cdot|\vec{b}|\) then the angle between \(\vec{a} \& \vec{b}\) is

87862 If \(|\vec{a} \times \vec{b}|^2+|\vec{a} \cdot \vec{b}|=144\) and \(|\vec{a}|=6\), then \(\quad|\vec{b}|\) is equal to

87863 If the angle between \(\vec{a}\) and \(\vec{b}\) is \(\frac{2 \pi}{3}\) and the projection of \(\vec{a}\) in the direction of \(\vec{b}\) is -2 , then \(|\overrightarrow{\mathbf{a}}|=\)

87864 If \(\cos \alpha, \cos \beta, \cos \gamma\) are the direction cosines of a vector \(\overrightarrow{\mathbf{a}}\), then \(\cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma\) is equal to

87865 If \(2 \vec{a} \cdot \vec{b}-|\vec{a}| \cdot|\vec{b}|\) then the angle between \(\vec{a} \& \vec{b}\) is