Recall the definition of the cross product with respect to the unit vectors:
i × i = j × j = k × k = 0
i × j = k
j × k = i
k × i = j
and that the product is anticommutative, so that for any two vectors u and v, we have u × v = - (v × u). (This essentially takes care of part (b).)
Now, given a = 8i + j - 2k and b = 5i - 3j + k, we have
a × b = (8i + j - 2k) × (5i - 3j + k)
a × b = 40 (i × i) + 5 (j × i) - 10 (k × i)
… … … … - 24 (i × j) - 3 (j × j) + 6 (k × j)
… … … … + 8 (i × k) + (j × k) - 2 (k × k)
a × b = - 5 (i × j) - 10 (k × i) - 24 (i × j) - 6 (j × k) - 8 (k × i) + (j × k)
a × b = - 5k - 10j - 24k - 6i - 8j + i
a × b = -5i - 18j - 29k
Answer:
a)θ=74.03° (N-E)
b)t=1.56 hr
Explanation:
Given that
Plane speed = 200 km/h
Wind speed = 55 km/h
Now from diagram
V is the resultant velocity of plane

V=192.28 km/h towards north
From triangle ABC

θ=74.03°
Given that
d=300 km
We know that
d = V x t
300 = 192.28 x t
t=1.56 hr
Which of the following pairings are more likely to be held together with the strong nuclear force
Explanation:
1.What does a strong nuclear force do in an atom? It repels electrons from other electrons. It repels protons from other protons. It attracts protons and neutrons.
2.The chain reaction requires both the release of neutrons from fissile isotopes undergoing nuclear fission and the subsequent absorption of some of these neutrons in fissile isotopes.
3.The strong nuclear force holds most ordinary matter together because it confines quarks into hadron particles such as the proton and neutron. In addition, the strong force binds these neutrons and protons to create atomic nuclei.
ΔT= 81°C was the increase in temperature.
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steps</h3>
As evidenced by energy conservation
To increase its temperature, all of its kinetic energy will be converted to thermal energy.
ΔT
then divide both sides by the object's mass.
ΔT
therefore, a temperature shift is described as
ΔT= 
ΔT=
/ 2 x 387
ΔT= 81°C
ΔT= 81°C was the increase in temperature.
learn more about increase in temperature here
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