A student bikes to school by traveling first dN = 0.800 miles north, then dW = 0.300 miles west, and finally dS = 0.100 miles south. Similarly, let d--> W be the displacement vector corresponding to the second leg of the student's trip. Express d⃗ W in component form.
Express your answer as two numbers separated by a comma. Be careful with your signs.

66.8°

Explanation:

Calculating for tthe first leg

dNx = 0;

dNy = + 0.8 mi (0 , 0.8)

then for the second

dWx = - 0.3 mi;

dWy = 0 (-0.3 , 0)

then the third leg

dSx = 0;

dSy = - 0.1 mi (0 , -0.1)

So the displacement vector is

db = ( -0.3 , (0.8 - 0.1) )

db = ( -0.3 , 0.7)

Finding the magnitude i= √(0.3^2 + 0.7^2 )

= 0.76

So the direction is

စ= tan^-1( 0.7 / 0.3 ) = 66.8°

32: from largest to smallest, this hierarchy includes eons, eras, periods, epochs, and ages.

33: answer is c

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adding a(n) to an electric circuit would increase the magnetic field around a wire;

b. solenoid

a solenoid is a type of electromagnet whose purpose is to generate a controlled magnetic field.

if the purpose of the solenoid is instead to impede changes in the electric current, a solenoid can be more specifically classified as an inductor rather than an electromagnet.