Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
Answer:
Because each of the two numbers is a factor of the product, and since the
product has at least those two factors, it's a composite number by definition.
Step-by-step explanation:
can i have brainliest please and thxs
Answers:
<u>A. 17</u>
<u>B. 27</u>
<u>C. -19</u>
<u>D. -7</u>
<u>E. 17</u>
<u>F. 326</u>
<u></u>
<h2>BRAINLIEST PLEASE</h2>
Answer:
The slope is 2
Explanation:
The equation is written in y=mx+b
M would always be the slope and b the y intercept
Hope this helps!!
Answer:
35x+72y
Step-by-step explanation:
Brainliest if it helped you!
