The vector projection of a vector $3\hat i + 4\hat k$ on $Y-$axis is
$5$
$4$
$3$
$0$
Find the magnitude of the unknown forces $X$ and $Y$ if sum of all forces is zero
$ABCDEF$ is a regular hexagon and forces represented in magnitude and direction by $AB, AC,AD, AE$ and $AF$ act at $A$. Their resultant is :
Colum $I$ | Colum $II$ |
$(A)$ $x-$axis | $(p)$ $5\,unit$ |
$(B)$ Along another vector $(2 \hat{ i }+\hat{ j }+2 \hat{ k })$ | $(q)$ $4\,unit$ |
$(C)$ Along $(6 \hat{ i }+8 \hat{ j }-10 \hat{ k })$ | $(r)$ $0$ |
$(D)$ Along another vector $(-3 \hat{ i }-4 \hat{ j }+5 \hat{ k })$ | $(s)$ None |
If two forces of $5 \,N$ each are acting along $X$ and $Y$ axes, then the magnitude and direction of resultant is