The characteristics of the scalar product allows to find the angle between the two vectors is:
The scalar product is the product between two vectors whose result is a scalar.
A . B = |A| |B| cos θ
Where A and B are the vectors, |A| and |B| are the modules of the vectors and θ at the angle between them.
The vector is given in Cartesian coordinates and the unit vectors in these coordinates are perpendicular.
i.i = j.j = 1
i.j = 0
A . B = (4 i - 4j). * -5 i + 7j)
A . B = - 4 5 - 4 7
A. B = -48
We look for the modulus of each vector.
|A| = 
|A| = 
|A| = 4 √2
|B| = 
|B| = 8.60
We substitute.
-48 = 4√2 8.60 cos θ
-48 = 48.66 cos θ
θ = cos⁻¹ 
θ = 170º
In conclusion using the dot product we can find the angle between the two vectors is:
Learn more about the scalar product here: brainly.com/question/1550649
Answer:
<em>13 m/s²</em>
Explanation:
Mass of object = 200 Kg
Applied force = 2600 N
Acceleration = ?
Solution:
Definition:
The acceleration is rate of change of velocity of an object with respect to time.
Formula:
a = Δv/Δt
a = acceleration
Δv = change in velocity
Δt = change in time
Units:
The unit of acceleration is m.s⁻².
Acceleration can also be determine through following formula,
F = m × a
a = F/m (N = kgm/s²)
a = 2600 kgm/s² / 200 Kg
a = 13 m/s²
The organism shown above belongs to "the animal kingdom".
<u>Answer:</u> Option C
<u>Explanation:</u>
The biological classification's hierarchy involves eight important taxonomic ranks. They are written below in decreasing order: Life > Domain > Kingdom > Phylum > Class > Order > Family > Genus > Species.
The U.S and Canada have historically used a six-kingdom scheme in their traditional textbook, such as Plantae, Animalia, Protista, Fungi, Archaea / Archaebacteria, and Bacteria / Eubacteria. The given image depicts snake which come under "Animalia Kingdom", carnivorous reptiles to suborder Serpentes.
Answer:
You drop a rock from rest out of a window on the top floor of a building, 30.0 m above the ground. When the rock has fallen 3.00 m, your friend throws a second rock straight down from the same window. You notice that both rocks reach the ground at the exact same time. What was the initial velocity of the ...... rest out of a window on the top floor of a building, 30.0m above the ground. ... You Notice That Both Rocks Reach The Ground At The Exact Same Time. ... You drop a rock from rest out of a window on the top floor of a building, 30.0m ... When the rock has fallen 3.20 m, your friend throws a second rock straight down from ...
