Let $\vec { v } _ { 1 } = 2 \vec { i } - 5 \vec { j } + \vec { k }$

question 21

Essay

Let $\vec { v } _ { 1 } = 2 \vec { i } - 5 \vec { j } + \vec { k }$ and $\vec { v } _ { 2 } = 5 \vec { i } + \vec { j } + \vec { k }$ Find a vector which is perpendicular to $\vec { v } _ { 1 }$ and $\vec { v } _ { 2 }$ to find an equation of the plane through the point (1, 2, -1)and with normal vector perpendicular to both $\vec { v } _ { 1 }$ and $\vec { v } _ { 2 }$ .Express your answer in the form $A x + B y + C z = D$

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Definitions:

Stimulant

Substances that increase physiological or nervous activity in the body, often enhancing alertness, attention, and energy.

Tranquilizer

A drug used to reduce anxiety or distress, often by inducing a mild sedation.

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The number of deaths during a given time period that exceeds the number expected based on historical data, often indicating the impact of environmental, health, or social crises.

Ready-Made Cigarettes

Manufactured cigarettes prepared for immediate use, as opposed to those that are self-rolled from loose tobacco.