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
“Most climate scientists
believe that there is evidence that explains global warming” is best supported by
this study.
The drastic increase in the emission of CO2 (carbon dioxide)
within the last 30 yearscaused<span> by burning fossil fuels has been identified as
the major </span>reason<span> for
the change of temperature in the atmosphere (click the following link for a
summary and graphs about the </span>cause<span> and
effects of </span>global warming).
The correct answer between all
the choices given is the last choice or letter D. I am hoping that this answer
has satisfied your query and it will be able to help you in your endeavor, and
if you would like, feel free to ask another question.
According to my examination I have confirmed that I do NOT repeat do NOT know this .
Work is done. work=forcexdisplacement. the ice skater glides 2 meters (displacement), so yes.