Class 11th

Electronic configuration of $O_2^{-}$ anion is;

${\left(\sigma 1s\right)}^2{\left({\sigma }_{1s}^{*}\right)}^2{\left({\sigma }_{2s}\right)}^2{\left({\sigma }_{2s}^{*}\right)}^2{\left(\sigma 2pz\right)}^2{\left(\pi 2px\right)}^2={\left(\pi 2py\right)}^2{\left(\pi *2px\right)}^2={\left(\pi *2py\right)}^1$

In anion total 10 e^- resides in Bonding Molecular Orbitals and 7e^- resides in anti-Bonding Molecular orbitals. Hence bond order $=\frac{10-7}{2}=\frac{3}{2}=1.5.$

It is paramagnetic due to one unpaired electron.

Mass and temperature are scalars. We can fully describe them by magnitude alone and do not involve direction. 

Speed is a scalar quantity. It only has magnitude and no direction, unlike velocity, which is a vector.

Displacement, velocity, and acceleration are common vectors. These three vectors they have both magnitude and direction, and  follow vector addition rules.

Graphically, we place vectors head-to-tail. Analytically, we add components along axes using coordinate geometry, trigonometric functions, and unit vectors for precise vector resultant calculation.

It resolves vectors into components, adds corresponding x and y values algebraically, then reconstructs the resultant using magnitude and direction. That is, applying vector addition rules.

Vector resolution is important when analysing motion in two or three dimensions. It's used in vector addition and subtraction, projectile motion, and expressing velocity or acceleration using component form. Resolution with unit vectors also helps in applying kinematic equations to multidimensional problems. 

Vectors can be resolved generally into any two non-parallel directions. These are done more as rectangular components using unit vectors. The latter is most common in physics and engineering to represent them into Cartesian coordinates for simplified vector operations.