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The-vectors-a-b-c-are-equal-in-length-and-taken-pairwise-they-make-equal-angles-If-a-i-j-b-j-k-and-c-makes-an-obtuse-angle-with-X-axis-then-c-




Question Number 61948 by subhankar10 last updated on 12/Jun/19
The vectors a, b, c are equal in length  and taken pairwise, they make equal  angles. If  a=i+j,  b=j+k  and  c makes  an obtuse angle with X−axis, then c=
$$\mathrm{The}\:\mathrm{vectors}\:\boldsymbol{\mathrm{a}},\:\boldsymbol{\mathrm{b}},\:\boldsymbol{\mathrm{c}}\:\mathrm{are}\:\mathrm{equal}\:\mathrm{in}\:\mathrm{length} \\ $$$$\mathrm{and}\:\mathrm{taken}\:\mathrm{pairwise},\:\mathrm{they}\:\mathrm{make}\:\mathrm{equal} \\ $$$$\mathrm{angles}.\:\mathrm{If}\:\:\boldsymbol{\mathrm{a}}=\boldsymbol{\mathrm{i}}+\boldsymbol{\mathrm{j}},\:\:\boldsymbol{\mathrm{b}}=\boldsymbol{\mathrm{j}}+\boldsymbol{\mathrm{k}}\:\:\mathrm{and}\:\:\boldsymbol{\mathrm{c}}\:\mathrm{makes} \\ $$$$\mathrm{an}\:\mathrm{obtuse}\:\mathrm{angle}\:\mathrm{with}\:{X}−\mathrm{axis},\:\mathrm{then}\:\boldsymbol{\mathrm{c}}= \\ $$

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