B) Sorent \( A, B, C \) et \( D \) quaure points du plan ou de l'espace muni d'un repere orthonormé Calculez \( A \vec{B} \cdot \overrightarrow{C b}) \) si \( \begin{array}{ll}\text { 1) } \overrightarrow{A B}\binom{-5}{1} \text { et } \overrightarrow{C D}\binom{-3}{2} & \text { 2) } A(3 ; 4), B(-2 ; 1), C(4 ;-2) \text { el } D(-1 ;-3) \\ \text { 3) } \overrightarrow{A B}\left(\begin{array}{c}4 \\ 1 \\ -2\end{array}\right) \text { et } \overrightarrow{C D}\left(\begin{array}{c}-3 \\ -1 \\ 2\end{array}\right) & \text { 4) } A(3 ; 0 ; 4), B(-2 ; 1 ; 1), C(1 ;-2 ;-3) \text { et } D(-1 ;-3 ; 2)\end{array} \)

The distance from \( \mathbf{A} \) to \( \mathbf{B} \) is three times as far as from \( \mathbf{B} \) to \( \mathbf{C} \) The distance from \( \mathbf{A} \) to \( \mathbf{C} \) is \( \mathbf{6 0} \) centimetres. Calculate the distance from \( \mathbf{A} \) to \( \mathbf{B} \).

A cuboid has a total surface area of \( 94 \mathrm{~cm}^{2} \). If its length is 5 cm and breadth is 3 cm , find its height.

1. A cuboid has dimensions \( 6 \mathrm{~cm} \times 4 \mathrm{~cm} \times 3 \mathrm{~cm} \). Find its surface area and volume.

In the following equations: The circle whose centre lies on the \( y \)-axis and does not intersect the \( x \)-axis is \( \begin{array}{ll}\text { (a) } x^{2}+(y-1)^{2}=4 & \text { (b) } x^{2}+(y-5)^{2}=25 \\ \text { (c) } x^{2}+(y+5)^{2}=9 & \text { (d) }(x+5)^{2}+y^{2}=16\end{array} \)

Determine the equation of a circle with centre \( (0 ; 0) \) and a point \( (3 ; 4) \) on the perimeter of the cirlce. (A) \( x^{2}+y^{2}=16 \) (B) None of these (C) \( x^{2}+y^{2}=12 \) (D) \( x^{2}+y^{2}=9 \) (E) \( x^{2}+y^{2}=25 \)