2 years ago

Evaluate the expression for a = 26, b = 10, c = 9, d = 19: a+b-c-d

Mathematics

1 answer:

Anettt [7]2 years ago

3 0

Answer:

Step-by-step explanation:

a+b-c-d

lets substitute the values of a, b, c and d in the equation:

26+10-9-19

so we have:

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2 years ago

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

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