Does 3+ mean 3 and up or more than 3? This is a stupid question, but I don't remember lol

2 answers:

7 0

Let's say the phrase is "x more than 3 more than y". You can express that in as the equation "x + 3 + y".

<span>"More than 3 more" just means "take the previous quantity, add three to it, then add some other quantity to it". On its own, it's meaningless. Is this from a test question?

</span>

gregori [183]3 years ago

6 0

3+ means 3 and up hope i could help.

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Let r3 have the euclidean inner product. let u = (-1, 1, 1) and v = (-7, 6, 15). if ||ku + v||= 7, what is k? give the exact ans

amm1812

Ma $k\mathbf u+\mathbf v=k(-1,1,1)+(-7,6,15)=(-k-7,k+6,k+15)$

Recall that for a vector $\mathbf x\in\mathbb R^n$ , we have $\|\mathbf x\|=\sqrt{\mathbf x\cdot\mathbf x}$ . So we have

$\|k\mathbf u+\mathbf v\|=\sqrt{(k\mathbf u+\mathbf v)(k\mathbf u+\mathbf v)}=7$
$\implies k^2\mathbf u\cdot\mathbf u+2k\mathbf u\cdot\mathbf v+\mathbf v\cdot\mathbf v=49$
$\implies3k^2+56k+261=0$
$\implies k=-9,-\dfrac{29}3$