bac-s-maths 2013 Q2

bac-s-maths · France · antilles-guyane Vectors 3D & Lines Vector Algebra and Triple Product Computation
In the orthonormal frame $(A ; \overrightarrow{AB} ; \overrightarrow{AD} ; \overrightarrow{AE})$, $ABCDEFGH$ denotes a cube with side length 1.
a. The dot product $\overrightarrow{AF} \cdot \overrightarrow{BG}$ is equal to 0. b. The dot product $\overrightarrow{AF} \cdot \overrightarrow{BG}$ is equal to $(-1)$. c. The dot product $\overrightarrow{AF} \cdot \overrightarrow{BG}$ is equal to 1. d. The dot product $\overrightarrow{AF} \cdot \overrightarrow{BG}$ is equal to 2.
In the orthonormal frame $(A ; \overrightarrow{AB} ; \overrightarrow{AD} ; \overrightarrow{AE})$, $ABCDEFGH$ denotes a cube with side length 1.

a. The dot product $\overrightarrow{AF} \cdot \overrightarrow{BG}$ is equal to 0.\\
b. The dot product $\overrightarrow{AF} \cdot \overrightarrow{BG}$ is equal to $(-1)$.\\
c. The dot product $\overrightarrow{AF} \cdot \overrightarrow{BG}$ is equal to 1.\\
d. The dot product $\overrightarrow{AF} \cdot \overrightarrow{BG}$ is equal to 2.