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umka21 [38]
3 years ago
12

Help needed asap !!!!!!

Mathematics
1 answer:
Zinaida [17]3 years ago
7 0

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|= \sqrt{4^{2} +8^{2} } \\\sqrt{16+64}

   =8.9

|b|=\sqrt{6^{2} +(-3)^{2} } \\\sqrt{36+9}

   =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 !

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You are almost done!
well, the euation of a circle centered at (h,k) and radius r is
(x-h)²+(y-k)²=r²

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