Determine Whether $\mathbf { u } = 2 \sqrt { 3 } \mathbf { i } + 2 \mathbf { j }$

question 75

Essay

Determine whether $\mathbf { u } = 2 \sqrt { 3 } \mathbf { i } + 2 \mathbf { j }$ is orthogonal to $\mathbf { v } = \mathbf { i } - \sqrt { 3 } \mathbf { j }$ .

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Definitions:

Uterus

A major female reproductive organ where fetal development occurs; also known as the womb.

Vagina

A muscular tube leading from the external genitals to the uterus in women and female mammals, involved in sexual intercourse and childbirth.

Fallopian Tube

A pair of tubes along which eggs travel from the ovaries to the uterus; a key site for fertilization.

Vascularity

The degree to which tissues are supplied with blood vessels, crucial for the delivery of oxygen and nutrients and the removal of waste products.