A vector \( \vec{A}=a_x\hat{i}+a_y\hat{j}+a_z\hat{k} \) is given. What is the scalar component of this vector along the direction of \( (\hat{i}-\hat{j}) \)?

1.	\(a_x-a_y+a_z\)	2.	\(a_x-a_y\)
3.	\(\dfrac{a_x-a_y}{\sqrt{2}}\)	4.	\(a_x+a_y+a_z\)

A force is \(60^{\circ}\) inclined to the horizontal. If its rectangular component in the horizontal direction is \(50\) N, then the magnitude of the force in the vertical direction is:

Which of the following represented to \(U-x\) graph of \(U=\dfrac{1}{2} K \left(\right. A^{2}   -   x^{2} \left.\right)   ?   \left(\right. K > 0 \left.\right)\)
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Which of the following graphs best represents the straight line \(y=-2x+5\text{?}~\)

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3.		4.

Which of the following graphs best represents the relation \(y=\dfrac{3}{x} \text{?}\)

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3.		4.

Which graph represents the function \(y=x^2+1\text{?}\)

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3.		4.

The slope of a curve between \(y\) and \(x\) changes from \(0\) to \(-5\) as x changes from \(0\) to \(5.\) Which of the following curve best represents the above mentioned curve?

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3.		4.

Which of the following graphs has a positive, decreasing slope?

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The slope of a curve is initially positive, then becomes zero, and thereafter becomes negative. Which of the following graphs best represents this behaviour?

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