87988 Two vectors \(\vec{A}\) and \(\vec{B}\) are such that \(|\overrightarrow{\mathbf{A}}+\overrightarrow{\mathbf{B}}|=|\overrightarrow{\mathbf{A}}-\overrightarrow{\mathbf{B}}|\). The angle between the two vectors will be-

87989 If \((\vec{a} \times \vec{b})^2+(\vec{a} \cdot \vec{b})^2=676\) and \(|\vec{b}|=2\) then \(|\vec{a}|\) is equal to

88004 If \(|\vec{a}|=5,|\vec{b}|=13\) and \(|\vec{a} \times \vec{b}|=25\), then find \(\overrightarrow{\mathbf{a} . \vec{b}}\)

87990 Which one of the following is the unit vector perpendicular to both \(\overrightarrow{\mathbf{a}}=-\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(\overrightarrow{\mathbf{b}}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}\) ?

87988 Two vectors \(\vec{A}\) and \(\vec{B}\) are such that \(|\overrightarrow{\mathbf{A}}+\overrightarrow{\mathbf{B}}|=|\overrightarrow{\mathbf{A}}-\overrightarrow{\mathbf{B}}|\). The angle between the two vectors will be-

87989 If \((\vec{a} \times \vec{b})^2+(\vec{a} \cdot \vec{b})^2=676\) and \(|\vec{b}|=2\) then \(|\vec{a}|\) is equal to

88004 If \(|\vec{a}|=5,|\vec{b}|=13\) and \(|\vec{a} \times \vec{b}|=25\), then find \(\overrightarrow{\mathbf{a} . \vec{b}}\)

87990 Which one of the following is the unit vector perpendicular to both \(\overrightarrow{\mathbf{a}}=-\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(\overrightarrow{\mathbf{b}}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}\) ?

87988 Two vectors \(\vec{A}\) and \(\vec{B}\) are such that \(|\overrightarrow{\mathbf{A}}+\overrightarrow{\mathbf{B}}|=|\overrightarrow{\mathbf{A}}-\overrightarrow{\mathbf{B}}|\). The angle between the two vectors will be-

87989 If \((\vec{a} \times \vec{b})^2+(\vec{a} \cdot \vec{b})^2=676\) and \(|\vec{b}|=2\) then \(|\vec{a}|\) is equal to

88004 If \(|\vec{a}|=5,|\vec{b}|=13\) and \(|\vec{a} \times \vec{b}|=25\), then find \(\overrightarrow{\mathbf{a} . \vec{b}}\)

87990 Which one of the following is the unit vector perpendicular to both \(\overrightarrow{\mathbf{a}}=-\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(\overrightarrow{\mathbf{b}}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}\) ?

87988 Two vectors \(\vec{A}\) and \(\vec{B}\) are such that \(|\overrightarrow{\mathbf{A}}+\overrightarrow{\mathbf{B}}|=|\overrightarrow{\mathbf{A}}-\overrightarrow{\mathbf{B}}|\). The angle between the two vectors will be-

87989 If \((\vec{a} \times \vec{b})^2+(\vec{a} \cdot \vec{b})^2=676\) and \(|\vec{b}|=2\) then \(|\vec{a}|\) is equal to

88004 If \(|\vec{a}|=5,|\vec{b}|=13\) and \(|\vec{a} \times \vec{b}|=25\), then find \(\overrightarrow{\mathbf{a} . \vec{b}}\)

87990 Which one of the following is the unit vector perpendicular to both \(\overrightarrow{\mathbf{a}}=-\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(\overrightarrow{\mathbf{b}}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}\) ?