The maximum and minimum magnitude of the resu | vedclass

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Question

(d) ${R_{\max }} = A + B = 17$ when $	heta = 0^\circ $

${R_{\min }} = A - B = 7$ when $	heta = 180^\circ $

by solving we get $A = 12$ and $B =

Vedclass · Accepted Answer

$13$

Vedclass · Answer

(d) ${R_{\max }} = A + B = 17$ when $	heta = 0^\circ $

${R_{\min }} = A - B = 7$ when $	heta = 180^\circ $

by solving we get $A = 12$ and $B = 5$

Now when $	heta = 90^\circ $ then $R = \sqrt {{A^2} + {B^2}} $

$&rArr;$ $R = \sqrt {{{(12)}^2} + {{(5)}^2}} $$ = \sqrt {169} $$ = 13$

The maximum and minimum magnitude of the resultant of two given vectors are $17 $ units and $7$ unit respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is

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