Answer:
b)0, yes
Step-by-step explanation:
Given:
Vectors (4,8) . (6,-3)
Finding inner product of vectors:
= 4x6 + 8x-3
=24-24
=0
Now to check the angle between them using formula a.b=|a|.|b|cosθ
|a|=
=8.9
|b|=
=6.7
Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,
0= 8.9(6.7)cosθ
cosθ =0
θ=90 degrees
Hence the two vectors are perpendicular !
Answer:
27.968 mins
Step-by-step explanation:
1) we need to find 8% of 32:
32*0.08=2.56
so 8% of 32 is 2.56 mins.
we need to subtract 2.56 by 32 since its says the times was cut by 8%
so
32-2.56=29.44
now 5% of 29.44:
29.44*0.05=1.472
1.472 mins
so
29.44-1.472=27.968
Hope this helps!