Let $\vec { F }$ Be a Constant Vector Field With ${ \vec { F } } = a \vec { i } + b \vec { j } + c \vec { k }$

question 43

Essay

Let $\vec { F }$ be a constant vector field with ${ \vec { F } } = a \vec { i } + b \vec { j } + c \vec { k }$ , where a, b, c are constants satisfying the condition $a ^ { 2 } + b ^ { 2 } + c ^ { 2 } = 1$ .Let S be a surface lying on the plane x + 4y - 5z = 10 oriented upward.
If the surface area of S is 10, what is the smallest possible value of $\int _ { S } \vec { F } \cdot \vec { d A }$ , and what are the corresponding values of a, b, c?

Determine the effects of specific genes on phenotypic traits such as color, growth, and fertility using CRISPR technology.

Distinguish between antisense RNA and RNAi technologies and their applications in gene expression studies.

Recognize the utility of restriction enzymes in DNA manipulation and the significance of palindromic sequences.

Understand the process and implications of constructing expression vectors with inducible promoters for targeted gene expression.

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