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wo vectors are perpendicular if and only if their dot product is zero. Answer: Proof: If vectors \( \vec{A} \) and \( \vec{B} \) are perpendicular, then by definition, the angle \( \theta \) between them is \( 90^\circ \). Since: \[ \vec{A} \cdot \vec{B} = |\vec{A}| |\vec{B}| \co
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iate steps like unit conversions or drawing free-body diagrams Marks for final answers and correct units This detailed breakdown helps students pinpoint exactly where they might have lost marks. Inclusion of Model Solutions Another valuable aspe
rce diagrams. Correct application of \( F = ma \). Proper handling of vector directions. 3. Friction and Inclined Planes Understanding how inclined surfaces affect motion and the role of friction. Key Concepts Resolving forces along and perpendicular to the plane. Coefficient of friction: \(
arks in the following way: Method mark for setting up an equation or expression 1. Method mark for manipulating the equation correctly 2. Accuracy mark for obtaining the final numerical answer 3. Accuracy or communication
