Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 4.86 and angle θA = 23.5 ∘ measured in the sense from the +x - axis toward the +y - axis, B⃗ with B = 4.02 and θB = 60.1 ∘, and C⃗ with magnitude C = 6.02 and in the +z - direction. Vectors A⃗ and B⃗ are in the xy-plane.

Answers

Answer 1
Answer:

Answer:

(A⃗ ×B⃗ )⋅C⃗  = 69.868

Explanation:

We simplify the cross product first, thereafter the solution of the cross product is now simplified with the dot product as shown in the step by step calculation in the attachment


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If a car travels 30.0 mi. north for 30.0 min., 50.0 mi. east for 1.00 hour, and 30.0 mi. south for 30.0 min., what is the average speed of the car over the total trip

Answers

Speed = (total distance covered) / (time to cover the distance) .

The direction at any time during the trip doesn't matter.

This car traveled  (30mi + 50mi + 30mi) = 110 miles .

The trip took  (30min + 60min + 30min) = 120 minutes

The average speed for the trip was

                           (110 miles) / (120 minutes)

                      =    (110 miles) / (2 hours)

                      =              55 miles/hour  .

Answer:

the answer is 55 mph

Explanation:

hope this helped

Which of the following best describes a direct current

Answers

Direct current-is  the unidirectional flow or movement of electric charge carries(which are usually electrons.  
its an unidirectional flow of electric charge

hope this helps!

Of the waves listed, the one with the longest wavelength is a(n)a. X ray.
b. radio wave.
c. microwave.
d. visible light wave.

Answers

Of the waves listed, the one with the longest wavelength is the radio wave. The answer is letter B. They are the longest wave in the electromagnetic spectrum. It can either be a long wave or a short wave.

Which elements has the smallest first ionization energy?

Answers

Answer:

Cesium has smallest ionization energy.

Explanation:

Ionization energy is the energy that an atom at ground state must be absorb to release an electron to form a cation. for eg.

H ⇒ H^(+) + e^(-)

The unit of ionization energy is (KJ)/(mol).

The ionization energy is minimum for cesium  & maximum for fluorine.

Ionization energy depends upon the radius of atom. cesium has smallest radius so it has low Ionization energy.

Therefore the cesium has smallest ionization energy.

Which pair of terms best describes a wooden table?

Answers

The answer is:

A) Biotic and non living

The explanation:

when Biotic refers to the component of living things that are part in ecosystem. Nonliving meaning a certain thing or the table does not have any life but it's biotic.

and we here have a wooden table that is derived from a living thing like a tree and it is nonliving as its a table.

If Earth were twice as far from the sun, the force of gravity attracting the Earth to the Sun would bea. twice as strong
b. half as strong
c. one-quarter as strong.

Can someone explain this one for me ? :)

Answers

one quater as your moving away more!