Fill in the blanks:
$(a)$ For vectors $\vec{A} = 3\hat{i} + 2\hat{j}$ and $\vec{B} = \hat{i} + \hat{j} - 2\hat{k}$,the $y$-component of the vector $(\vec{A} - \vec{B})$ is .....
$(b)$ The formula for the total time of flight of a projectile projected vertically upwards with an initial velocity $u$ is ..........
$(c)$ The formula for the centripetal acceleration of a particle moving in a circular path of radius $R$ with a constant angular velocity $\omega$ is ......
$(d)$ The component of any vector is always .........
$(a)$ For vectors $\vec{A} = 3\hat{i} + 2\hat{j}$ and $\vec{B} = \hat{i} + \hat{j} - 2\hat{k}$,the $y$-component of the vector $(\vec{A} - \vec{B})$ is .....
$(b)$ The formula for the total time of flight of a projectile projected vertically upwards with an initial velocity $u$ is ..........
$(c)$ The formula for the centripetal acceleration of a particle moving in a circular path of radius $R$ with a constant angular velocity $\omega$ is ......
$(d)$ The component of any vector is always .........
(A) $\vec{A} - \vec{B} = (3\hat{i} + 2\hat{j}) - (\hat{i} + \hat{j} - 2\hat{k}) = 2\hat{i} + \hat{j} + 2\hat{k}$. The $y$-component is $1$.
$(b)$ For vertical projection,the time of flight $T = \frac{2u}{g}$.
$(c)$ The centripetal acceleration $a_c = R\omega^2$.
$(d)$ The component of any vector is always a scalar.
$(b)$ For vertical projection,the time of flight $T = \frac{2u}{g}$.
$(c)$ The centripetal acceleration $a_c = R\omega^2$.
$(d)$ The component of any vector is always a scalar.
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