Numerade

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2. Let $\vec{u} = \begin{bmatrix} 1 \\ 2 \\ 1 \end{bmatrix}$.\ (a) If $\vec{v} = \begin{bmatrix} 2 \\ 2 \\ a \end{bmatrix}$ and $\vec{v}$ is perpendicular to $\vec{u}$, what is a?\ (b) What is the length of the vector $\vec{v}$ in part (a)?\ (c) Find a unit vector which is perpendicular to $\vec{u}$. Hint. The vector in part (a) is perpendicular to $\vec{u}$, so you just need to scale it so that its length is 1.

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Which molecule exhibits the weakest London dispersion forces? a) Xe b) O$_2$ c) Br$_2$ d) P$_4$ e) I$_2$

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c. If the compasses were not constrained to rotate only in the plane, but could rotate in three dimensions, do you think they would point in the same direction as they do now? Predict the direction a three-dimensional compass would point.

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Question 48 (0.5 points) The intermediate tier of the American ethnic hierarchy today consists of: white Protestants, Catholics, and Jews. white Protestants of various national origins. white Catholics, Jews, and Asians. blacks, Hispanics, and Asians.

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17. When the membrane potential of a neuron is at resting state, which ion has the highest concentration outside of the cell? (2pts). A. Calcium B. Potassium C. Chloride D. Sodium

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According to C. Wright Mills's concept of the sociological imagination, most people's life choices are made with little influence from the expectations of the society in which they live. 1 Point true false person's choices and perceptions. It's a

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Suppose that a $3.00 tax per pack is imposed on cigarettes. Which of the following is consistent with the demand being relatively inelastic and the supply being relatively elastic?

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in a morally permissible way beyond what law, market, and [everyday] morality would otherwise require. "22 He argues that carpenters, barbers, porters, and other groups who organize their work around a shared code of ethics should be recognized as professionals. Do you agree or disagree, and why? Can this issue be settled by reference to a dictionary?

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I. Express each limit as an integral. 1) $\lim_{n \to \infty} \sum_{k=1}^{n} \ln(1 + \frac{2k}{n}) \cdot \frac{2}{n}$ 2) $\lim_{n \to \infty} \sum_{k=1}^{n} \frac{k^4}{n^5}$

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Which of the following describes one difference between skeletal muscles and cardiac muscles? Skeletal muscles are autorhythmic, whereas cardiac muscles are not. Cardiac muscles contain intercalated discs, whereas skeletal muscles do not. Cardiac muscles are voluntary, whereas skeletal muscles are involuntary. Skeletal muscles are found in the viscera, whereas cardiac muscles are found in the cranium.

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ernest k.