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:
x = 7
Step-by-step explanation:
Pytago:
Answer:
<em>The correct answer is </em><u><em>(-B-)</em></u>
Step-by-step explanation:
<em>Why this would be (B), A normal size shape triangle is a right angle and that would mean the L=Length, = </em><u><em>5</em></u><em>, H=Height=</em><u><em>6</em></u><em>, B=Base, = </em><u><em>5</em></u><em>. </em>
You can take 5 and 10 to turn that into 15 and + 6 = 21 x bh = 40
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The probability of selecting two jelly-filled donuts in a row is 1/ 22
<h3>What is probability?</h3>
Probability is simply the chance that a given event will occur.
It is also the ratio of the number of outcomes in a set of equally likely outcomes that produce a given event to the total number of possible outcomes.
From the information given, we have that the donuts are:
- 6 are jelly-filled
- 10 are lemon-filled
- 8 are custard-filled
Note that two jelly - filled donuts were taken without replacement
Probability( 2 jelly -filled donuts) = 6 / 24 × 4/ 22 = 24/ 24 × 22 = 1/ 22
Thus, the probability of selecting two jelly-filled donuts in a row is 1/ 22
Learn more about probability here:
brainly.com/question/24756209
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Answer:
Step-by-step explanation:
Any equation, for example 2r =2/3
