Part A For the vectors shown in the figure, determine (Eigure 1) the magnitude of B-3A Express your answer using three significant figures. |B - 3A| = units Submit Request Answer Figure 1 of 1> Part B the direction of B-3A A (A = 44.0) 128.0° Express your answer using three significant figures. 56.09 Č (C=31.0) 0 = below x axIS Submit Request Answer B (B = 26.5)

Part A For the vectors shown in the figure, determine (Eigure 1) the magnitude of B-3A Express your answer using three significant figures. |B - 3A| = units Submit Request Answer Figure 1 of 1> Part B the direction of B-3A A (A = 44.0) 128.0° Express your answer using three significant figures. 56.09 Č (C=31.0) 0 = below x axIS Submit Request Answer B (B = 26.5)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 51P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...

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Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point? What is your displacement vector? What is the direction of your displacement? Assume the +x -axis is horizontal to the right.
A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
For vectors and , calculate (a) and its magnitude and direction angle, and (b) and its magnitude and direction angle.
Check Your Understanding For vector in a rectangular coordinate system, use Equation 2.29 through Equation 2.32 to show that and .
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?
If three vectors sum up to zero, si1at geometric condition do they satisfy?
Starting at the island of Moi in an unknown archipelago, a fishing boat makes a round trip with two stops at the islands of Noi and Poi. It sails from Moi for 4.76 nautical miles (nmi) in a direction 37 north of east to Noi. From Noi, it sails 69 west of north to Poi. On its return leg from Poi, it sails 28 east of south. What distance does the boat sail between Noi and Poi? What distance does it sail between Moi and Poi? Express your answer both in nautical miles and in kilometei. Note: 1 nmi = 1852m.
The coordinates of a particle in a rectangular coordinate system are (1.0,4.0,6.0) . What is the position vector of the particle?
A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.
Given the displacement vectors A=(3i4j+4k)m and B=(2i+3j7k)m, find the magnitudes of the following vectors and express each in terms of its rectangular components. (a) C=A+B (b) D=2AB