In terms of the scientific definition of work magnetic fields can do work but electric fields can not true or false

(1 point) Find a linearly independent set of vectors that spans the same subspace of R3R3 as that spanned by the vectors ⎡⎣⎢3−1−

Natalka [10]

Answer:

Explanation:

$A=\left[\begin{array}{ccc}3&-9&-3\\-1&2&0\\-2&3&-1\end{array}\right] \\\\R_2\rightarrow 3R_2+R_1,R_3\rightarrow 3R_3+2R_1\\\\=\left[\begin{array}{ccc}3&-9&-3\\0&-3&-3\\0&-9&-9\end{array}\right] \\\\R_3\rightarrow 3R_3-9R_2\\\\=\left[\begin{array}{ccc}3&-9&-3\\0&-3&-3\\0&0&0\end{array}\right]$

This is the row echelon form of A. This means that only two of the vectors in our set are linearly independent. In other words, the first two vectors alone will span the same subspace of $R^4$ as all three vectors.

Therefore, the linearly independent spanning set for the subspace is

$\left[\begin{array}{ccc}3\\-1\\-2\end{array}\right] \left[\begin{array}{ccc}-9\\2\\3\end{array}\right] \left[\begin{array}{ccc}3\\0\\-1\end{array}\right]$

5 0

3 years ago

An electric heater has a Nichrome heating element with a resistance of 9 Ω at 20oC. When 112 V are applied, the electric current

maw [93]

Answer:

975.28 W.

Explanation:

Using,

R' = R(1+αΔt)....................... Equation 1

Where R' = Resistance at the final temperature, R = Resistance at the initial temperature, α = temperature coefficient of resistivity of Nichorome, Δt = Temperature rise.

Given: R = 9 Ω, α = 0.0004/°C, Δt = 1090-20 = 1070 °C

Substitute into equation 1

R' = 9(1+0.0004×1070)

R' = 9(1.428)

R' = 12.862 Ω.

Note: Operating wattage of the heater means the operating power of the heater

The power of the heater is given as,

P = V²/R'...................... Equation 2

Where P = Operating wattage of the heater, V = Voltage, R' = Operating resistance.

Given: V = 112 V, R' = 12.862 Ω

Substitute into equation 2

P = 112²/12.862

P = 975.28 W.

3 0

3 years ago

Will giv cookie if answer :)

e-lub [12.9K]

Answer :B, Because thermal energy come from the ahnd and the temperature from the outside Now coookie :3

Explanation:

3 0

3 years ago

Read 2 more answers

. If the kinetic energy is given in units of

leonid [27]

B this is the correct answer

4 0

3 years ago

What are some of the applications of atmospheric pressure ?

yan [13]

1 Air pressure in car tire supports the weight of the car
2 Sucking a drink through a straw - fluid flows because of pressure difference. 
3 Aircraft fly because of the air pressure on the wings. 
4 Bullet fired from a gun is driven by gas pressure 
5 Toy balloon inflates because of air pressure inside.

4 0

3 years ago