CH3. Vectors_ problems

JH- Term 131

• 1. Two vectors have unequal magnitudes. Can their sum be zero? Explain. [S.6: q3.1]

• No. The sum of two vectors can only be zero if they are in opposite directions and have the same magnitude. If you walk 10 meters north and then 6 meters south, you won’t end up where you started.

• Max of sum = A+B if along and min is A-B if opposite

8. If the component of vector A along the direction of vector is zero, what can you conclude about the two vectors? [S.6: q3.8]

• Vectors A and B are perpendicular to each other.

A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitude of 150 cm and makes an angle of 120° with the positive x axis. The resultant displacement has a magnitude of 140 cm and is directed at an angle of 35.0° to the positive x axis. Find the magnitude and direction of the second displacement.

Additional Problems

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