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Question Number 119013 by zakirullah last updated on 21/Oct/20

Commented by zakirullah last updated on 21/Oct/20

find the component and the magnitude of PQ^→ i. P(−1,2), Q(2,−1) ii. P(−2,1), Q(2,3) iii. P(−1,1,2), Q(2,−1,3) iv. P(2,4,6), Q(1,−2,3)

findthecomponentandthemagnitudeofPQ→i.P(−1,2),Q(2,−1)ii.P(−2,1),Q(2,3)iii.P(−1,1,2),Q(2,−1,3)iv.P(2,4,6),Q(1,−2,3)

Answered by ebi last updated on 21/Oct/20

point P(p_1 ,p_2 ,...,p_n ), Q(q_1 ,q_2 ,...,q_n ) component, PQ^→ =⟨q_1 −p_1 ,q_2 −p_1 ,...,q_n −p_n ⟩=⟨u_1 ,u_2 ,...,u_n ⟩ magnitude,∣∣PQ^→ ∣∣=(√(u_1 ^2 +u_2 ^2 +...+u_n ^2 )) i) PQ^→ =⟨3,−3⟩, ∣∣PQ^→ ∣∣=3(√2) ii) PQ^→ =⟨4,2⟩, ∣∣PQ^→ ∣∣=2(√5) iii) PQ^→ =⟨3,−2,1⟩, ∣∣PQ^→ ∣∣=(√(14)) iv) PQ^→ =⟨−1,−6,−3⟩, ∣∣PQ^→ ∣∣=(√(46))

pointP(p1,p2,...,pn),Q(q1,q2,...,qn)component,PQ→=⟨q1−p1,q2−p1,...,qn−pn⟩=⟨u1,u2,...,un⟩magnitude,∣∣PQ→∣∣=u12+u22+...+un2i)PQ→=⟨3,−3⟩,∣∣PQ→∣∣=32ii)PQ→=⟨4,2⟩,∣∣PQ→∣∣=25iii)PQ→=⟨3,−2,1⟩,∣∣PQ→∣∣=14iv)PQ→=⟨−1,−6,−3⟩,∣∣PQ→∣∣=46

Commented by zakirullah last updated on 21/Oct/20

thanks sir

thankssir

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