143644 A body constrianed to move along the \(z\)-axis of a co-ordinate system is subject to a constant force \(\overrightarrow{\mathbf{F}}\) given by \(\overrightarrow{\mathbf{F}}=(-\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}) \mathbf{N}\). The work done by this force in moving the body a distance \(4 \mathbf{m}\) along the \(\mathrm{z}\)-axis is.

143645 The sum of three vectors in the figure below is zero. The magnitude of \(\overrightarrow{\mathrm{OC}}\) and \(\overrightarrow{\mathrm{OB}}\) is

143646 The unit vector perpendicular to the plane of \(\overrightarrow{\mathbf{A}}=\hat{\mathbf{i}}-\mathbf{3} \hat{\mathbf{j}}-\hat{\mathbf{k}}\) and \(\overrightarrow{\mathbf{B}}=\mathbf{2} \overrightarrow{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}\) is

143647 The angle between two vectors \(x\) and \(y\) is \(\theta\). If the resultant vector \(z\) makes an angle \(\theta / 2\) with \(x\), then which of the following is true?

143648 The resultant of three vectors \(\vec{A}(2 \hat{i}-\hat{j}+3 \hat{k}), \vec{B}(3 \hat{i}-2 \hat{j}-2 \hat{k})\) and \(\vec{C}\) is a unit vector along \(\vec{z}\) direction is given by

143644 A body constrianed to move along the \(z\)-axis of a co-ordinate system is subject to a constant force \(\overrightarrow{\mathbf{F}}\) given by \(\overrightarrow{\mathbf{F}}=(-\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}) \mathbf{N}\). The work done by this force in moving the body a distance \(4 \mathbf{m}\) along the \(\mathrm{z}\)-axis is.

143645 The sum of three vectors in the figure below is zero. The magnitude of \(\overrightarrow{\mathrm{OC}}\) and \(\overrightarrow{\mathrm{OB}}\) is

143646 The unit vector perpendicular to the plane of \(\overrightarrow{\mathbf{A}}=\hat{\mathbf{i}}-\mathbf{3} \hat{\mathbf{j}}-\hat{\mathbf{k}}\) and \(\overrightarrow{\mathbf{B}}=\mathbf{2} \overrightarrow{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}\) is

143647 The angle between two vectors \(x\) and \(y\) is \(\theta\). If the resultant vector \(z\) makes an angle \(\theta / 2\) with \(x\), then which of the following is true?

143648 The resultant of three vectors \(\vec{A}(2 \hat{i}-\hat{j}+3 \hat{k}), \vec{B}(3 \hat{i}-2 \hat{j}-2 \hat{k})\) and \(\vec{C}\) is a unit vector along \(\vec{z}\) direction is given by

143644 A body constrianed to move along the \(z\)-axis of a co-ordinate system is subject to a constant force \(\overrightarrow{\mathbf{F}}\) given by \(\overrightarrow{\mathbf{F}}=(-\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}) \mathbf{N}\). The work done by this force in moving the body a distance \(4 \mathbf{m}\) along the \(\mathrm{z}\)-axis is.

143645 The sum of three vectors in the figure below is zero. The magnitude of \(\overrightarrow{\mathrm{OC}}\) and \(\overrightarrow{\mathrm{OB}}\) is

143646 The unit vector perpendicular to the plane of \(\overrightarrow{\mathbf{A}}=\hat{\mathbf{i}}-\mathbf{3} \hat{\mathbf{j}}-\hat{\mathbf{k}}\) and \(\overrightarrow{\mathbf{B}}=\mathbf{2} \overrightarrow{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}\) is

143647 The angle between two vectors \(x\) and \(y\) is \(\theta\). If the resultant vector \(z\) makes an angle \(\theta / 2\) with \(x\), then which of the following is true?

143648 The resultant of three vectors \(\vec{A}(2 \hat{i}-\hat{j}+3 \hat{k}), \vec{B}(3 \hat{i}-2 \hat{j}-2 \hat{k})\) and \(\vec{C}\) is a unit vector along \(\vec{z}\) direction is given by

143644 A body constrianed to move along the \(z\)-axis of a co-ordinate system is subject to a constant force \(\overrightarrow{\mathbf{F}}\) given by \(\overrightarrow{\mathbf{F}}=(-\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}) \mathbf{N}\). The work done by this force in moving the body a distance \(4 \mathbf{m}\) along the \(\mathrm{z}\)-axis is.

143645 The sum of three vectors in the figure below is zero. The magnitude of \(\overrightarrow{\mathrm{OC}}\) and \(\overrightarrow{\mathrm{OB}}\) is

143646 The unit vector perpendicular to the plane of \(\overrightarrow{\mathbf{A}}=\hat{\mathbf{i}}-\mathbf{3} \hat{\mathbf{j}}-\hat{\mathbf{k}}\) and \(\overrightarrow{\mathbf{B}}=\mathbf{2} \overrightarrow{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}\) is

143647 The angle between two vectors \(x\) and \(y\) is \(\theta\). If the resultant vector \(z\) makes an angle \(\theta / 2\) with \(x\), then which of the following is true?

143648 The resultant of three vectors \(\vec{A}(2 \hat{i}-\hat{j}+3 \hat{k}), \vec{B}(3 \hat{i}-2 \hat{j}-2 \hat{k})\) and \(\vec{C}\) is a unit vector along \(\vec{z}\) direction is given by

143644 A body constrianed to move along the \(z\)-axis of a co-ordinate system is subject to a constant force \(\overrightarrow{\mathbf{F}}\) given by \(\overrightarrow{\mathbf{F}}=(-\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}) \mathbf{N}\). The work done by this force in moving the body a distance \(4 \mathbf{m}\) along the \(\mathrm{z}\)-axis is.

143645 The sum of three vectors in the figure below is zero. The magnitude of \(\overrightarrow{\mathrm{OC}}\) and \(\overrightarrow{\mathrm{OB}}\) is

143646 The unit vector perpendicular to the plane of \(\overrightarrow{\mathbf{A}}=\hat{\mathbf{i}}-\mathbf{3} \hat{\mathbf{j}}-\hat{\mathbf{k}}\) and \(\overrightarrow{\mathbf{B}}=\mathbf{2} \overrightarrow{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}\) is

143647 The angle between two vectors \(x\) and \(y\) is \(\theta\). If the resultant vector \(z\) makes an angle \(\theta / 2\) with \(x\), then which of the following is true?

143648 The resultant of three vectors \(\vec{A}(2 \hat{i}-\hat{j}+3 \hat{k}), \vec{B}(3 \hat{i}-2 \hat{j}-2 \hat{k})\) and \(\vec{C}\) is a unit vector along \(\vec{z}\) direction is given by