1. Vector a has a magnitude of 5 units and is directed east. Vector b is directed 45 west of north and has a magnitude of 4.0 units. Construct vector diagrams for calculating (a) (a + b) (b) (Ъ — а) (c) Estimate the magnitudes and directions of (a + b) and (b - a) from your diagrams 2. A room has the dimensions 10 ft. × 12 ft. x 14 ft. A fly starting at one corner ends up at a diametrically opposite corner. (a) What is the magnitude of its displacement? (b) Could the length of its path be less than this distance? Greater than this distance? Equal to this distance? (c) Choose a suitable coordinate system and find the components of the displacement vector in this frame. (d) If the fly walks rather than flies, what is the length of the shortest path it can take?

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1. Vector a has a magnitude of 5 units and is directed east. Vector b is directed 45 west
of north and has a magnitude of 4.0 units. Construct vector diagrams for calculating
(a) (a + b)
(b) (Ъ — а)
(c) Estimate the magnitudes and directions of (a + b) and (b - a) from your diagrams
2. A room has the dimensions 10 ft. × 12 ft. x 14 ft. A fly starting at one corner ends up at
a diametrically opposite corner.
(a) What is the magnitude of its displacement?
(b) Could the length of its path be less than this distance? Greater than this distance?
Equal to this distance?
(c) Choose a suitable coordinate system and find the components of the displacement
vector in this frame.
(d) Ifthe fly walks rather than flies, what is the length of the shortest path it can take?
Transcribed Image Text:1. Vector a has a magnitude of 5 units and is directed east. Vector b is directed 45 west of north and has a magnitude of 4.0 units. Construct vector diagrams for calculating (a) (a + b) (b) (Ъ — а) (c) Estimate the magnitudes and directions of (a + b) and (b - a) from your diagrams 2. A room has the dimensions 10 ft. × 12 ft. x 14 ft. A fly starting at one corner ends up at a diametrically opposite corner. (a) What is the magnitude of its displacement? (b) Could the length of its path be less than this distance? Greater than this distance? Equal to this distance? (c) Choose a suitable coordinate system and find the components of the displacement vector in this frame. (d) Ifthe fly walks rather than flies, what is the length of the shortest path it can take?
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