(a)
Given:
is in xy plane and 
is in the direction of k.
|a|=6 units, |b|=3 and θ = 90°
|a × b| = |a| × |b| sinθ
= |a| × |b| sin90°
= 6 × 3 × 1
|a × b| = 18
(b)
Let 
is perpendicular to both 
.
In this case,
x-component of 
is positive.
y-component of is negative.
z-component of is zero.
for ln(x), the base is e, the natural base (aprox equal to 2.718281828454590...) or 
for log(x), if no base is stated, assume base 10 or 
Multiple of 2 from 0-10 : 2, 4, 6, 8, 10
Multiples of 3 from 0-10 : 3, 6, 9
1, 5, 7
Answer:
1 gallon to 12 miles
Step-by-step explanation:
Distance = 300 miles
Gasoline used = 25 gallons
Expressing as a unit rate :
Distance covered per gallon of gasoline :
Distance / gasoline used
300 / 25
12 miles
Hence, the unit rate is :
1 gallon of gasoline = 12 miles
1 gallon of gasoline will cover 12 miles in distance.
Answer:
0.375
Step-by-step explanation:
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