The route followed by a hiker consists of three displacement vectors , , and . Vector is along a measured...

The route followed by a hiker consists of three displacement vectors , , and . Vector is along a measured trail and is 2670 m in a direction 27.0 ° north of east. Vector is not along a measured trail, but the hiker uses a compass and knows that the direction is 34.0 ° east of south. Similarly, the direction of vector is 42.0 ° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or + + = 0. Find the magnitudes of (a) vector and (b) vector .

Expert Solution

Given:

The route followed by a hiker consist of three displacement vector.

Let, A,B and C be the three displacement vector. WE want tofind B and C vector.

Let, North and East be the component of each vectors. Vector is along a trail of 2670m.

Therefore, Total component in each direction is given by,

genius_generous answered 2 years ago

The route followed by a hiker consists of three displacement vectors , , and . Vector...

The route followed by a hiker consists of three displacement vectors , , and . Vector is along a measured trail and is 1360 m in a direction 16.0 ° north of east. Vector is not along a measured trail, but the hiker uses a compass and knows that the direction is 27.0 ° east of south. Similarly, the direction of vector is 15.0 ° north of west. The hiker ends up back where she started, so the resultant displacement...

A pilot flies her route in two straight-line segments. The displacement vector A for the first...

A pilot flies her route in two straight-line segments. The displacement vector A for the first segment has a magnitude of 235 km and a direction 30.0o north of east. The displacement vector B for the second segment has a magnitude of 173 km and a direction due west. The resultant displacement vector is R = A + B and makes an angle θ with the direction due east. Using the component method, find (a) the magnitude of R and...

The three displacement vectors in the drawing have magnitudes of A = 4.95 m, B =...

The three displacement vectors in the drawing have magnitudes of A = 4.95 m, B = 5.93 m, and C = 3.59 m. Find the resultant ((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express the directional angle as an angle above the positive or negative x axis. A=2nd quadrant 20 degrees B= 1st quadrant 60 degrees C=on Y axis at 270 degrees

Expressed in terms of Cartesian unit vectors, a displacement vector has the form: A=(3.00m)i-(4.00m)j where the...

Expressed in terms of Cartesian unit vectors, a displacement vector has the form: A=(3.00m)i-(4.00m)j where the units are given (meters) Express this vector in polar form

A swedish license plate consists of three letters followed by three digits. Find the probability that...

A swedish license plate consists of three letters followed by three digits. Find the probability that a randomly selected plate has a) no duplicate letters b) no duplicate digits c) all letters the same d) only odd digits e) no duplicate letters and all digits equal

Determine the resultant vector D when the three vectors below are added together. Express your result...

Determine the resultant vector D when the three vectors below are added together. Express your result in a magnitude and direction. A = 5kN@40* B = 10kN@140* C = 25kN@240*

C++ Suppose the vector v = [4 -6 7]. Create three vectors: 1. p, which is...

C++ Suppose the vector v = [4 -6 7]. Create three vectors: 1. p, which is twice as long as v and points in the same direction as v 2. q, which has the same length as v and points in the opposite direction of v 3. r, which is three quarters the length of v and points in the same direction as v Print out the results of each vector calculation.

How is health measured? Briefly describe the three classes of indicators most commonly used, along with...

How is health measured? Briefly describe the three classes of indicators most commonly used, along with their weaknesses and strengths.

Question