87794 If \(A B C D E F\) is a regular hexagon inscribed in a circle with center ' \(O\) ' then \(\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{AC}}+\overrightarrow{\mathrm{AD}}+\overrightarrow{\mathrm{AE}}+\overrightarrow{\mathrm{AF}}\) equal

87795 If the projection of \(5 \hat{i}-\hat{j}-3 \hat{k}\) on the vector \(\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+\lambda \hat{\mathbf{k}}\) is same as the projection of \(\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+\lambda \hat{\mathbf{k}}\) on \(5 \hat{\mathbf{i}}-\hat{\mathbf{j}}-3 \hat{\mathbf{k}}\), then \(\lambda=\)

87796 If \(\vec{a}=(p,-2,5)\) and \(\vec{b}=(1, q,-3)\) are collinear vectors then

87797 If origin is the ortho-center of an equilateral triangle whose vertices are \(\vec{a}, \vec{b}, \vec{c}\) then

87794 If \(A B C D E F\) is a regular hexagon inscribed in a circle with center ' \(O\) ' then \(\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{AC}}+\overrightarrow{\mathrm{AD}}+\overrightarrow{\mathrm{AE}}+\overrightarrow{\mathrm{AF}}\) equal

87795 If the projection of \(5 \hat{i}-\hat{j}-3 \hat{k}\) on the vector \(\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+\lambda \hat{\mathbf{k}}\) is same as the projection of \(\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+\lambda \hat{\mathbf{k}}\) on \(5 \hat{\mathbf{i}}-\hat{\mathbf{j}}-3 \hat{\mathbf{k}}\), then \(\lambda=\)

87796 If \(\vec{a}=(p,-2,5)\) and \(\vec{b}=(1, q,-3)\) are collinear vectors then

87797 If origin is the ortho-center of an equilateral triangle whose vertices are \(\vec{a}, \vec{b}, \vec{c}\) then

87794 If \(A B C D E F\) is a regular hexagon inscribed in a circle with center ' \(O\) ' then \(\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{AC}}+\overrightarrow{\mathrm{AD}}+\overrightarrow{\mathrm{AE}}+\overrightarrow{\mathrm{AF}}\) equal

87795 If the projection of \(5 \hat{i}-\hat{j}-3 \hat{k}\) on the vector \(\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+\lambda \hat{\mathbf{k}}\) is same as the projection of \(\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+\lambda \hat{\mathbf{k}}\) on \(5 \hat{\mathbf{i}}-\hat{\mathbf{j}}-3 \hat{\mathbf{k}}\), then \(\lambda=\)

87796 If \(\vec{a}=(p,-2,5)\) and \(\vec{b}=(1, q,-3)\) are collinear vectors then

87797 If origin is the ortho-center of an equilateral triangle whose vertices are \(\vec{a}, \vec{b}, \vec{c}\) then

87794 If \(A B C D E F\) is a regular hexagon inscribed in a circle with center ' \(O\) ' then \(\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{AC}}+\overrightarrow{\mathrm{AD}}+\overrightarrow{\mathrm{AE}}+\overrightarrow{\mathrm{AF}}\) equal

87795 If the projection of \(5 \hat{i}-\hat{j}-3 \hat{k}\) on the vector \(\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+\lambda \hat{\mathbf{k}}\) is same as the projection of \(\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+\lambda \hat{\mathbf{k}}\) on \(5 \hat{\mathbf{i}}-\hat{\mathbf{j}}-3 \hat{\mathbf{k}}\), then \(\lambda=\)

87796 If \(\vec{a}=(p,-2,5)\) and \(\vec{b}=(1, q,-3)\) are collinear vectors then

87797 If origin is the ortho-center of an equilateral triangle whose vertices are \(\vec{a}, \vec{b}, \vec{c}\) then