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Question Number 119008 by zakirullah last updated on 21/Oct/20

Commented by zakirullah last updated on 21/Oct/20

find the initial point p or the terminal point Q whichever is missing? i. PQ^→ = [−2,3], P(1,−2) ii. PQ^→ =[4,−5], Q(−1,1) iii. PQ^→ = [−1,3,−2], P(2,−1,−3) iv. PQ^→ =[2,−3,−4], Q(3,−1,4)

findtheinitialpointportheterminalpointQwhicheverismissing?i.PQ→=[−2,3],P(1,−2)ii.PQ→=[4,−5],Q(−1,1)iii.PQ→=[−1,3,−2],P(2,−1,−3)iv.PQ→=[2,−3,−4],Q(3,−1,4)

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 )) Question 2 i) PQ^→ =⟨−2,3⟩, P(1,−2) PQ^→ =⟨−2,3⟩=⟨q_1 −1,q_2 +2⟩ Q(−1,1) ii) PQ^→ =⟨4,−5⟩, Q(−1,1) PQ^→ =⟨4,−5⟩=⟨−1−p_1 ,1−p_2 ⟩ P(−5,6) iii) PQ^→ =⟨−1,3,−2⟩, P(2,−1,−3) PQ^→ =⟨−1,3,−2⟩=⟨q_1 −2,q_2 +2,q_3 +3⟩ Q(1,1,−5) iv) PQ^→ =⟨2,−3,−4⟩, Q(3−1,4) PQ^→ =⟨2,−3,−4⟩=⟨3−p_1 ,−1−p_2 ,4−p_3 ⟩ P(1,2,8)

pointP(p1,p2,...,pn),Q(q1,q2,...,qn)component,PQ→=⟨q1−p1,q2−p1,...,qn−pn⟩=⟨u1,u2,...,un⟩magnitude,∣∣PQ→∣∣=u12+u22+...+un2Question2i)PQ→=⟨−2,3⟩,P(1,−2)PQ→=⟨−2,3⟩=⟨q1−1,q2+2⟩Q(−1,1)ii)PQ→=⟨4,−5⟩,Q(−1,1)PQ→=⟨4,−5⟩=⟨−1−p1,1−p2⟩P(−5,6)iii)PQ→=⟨−1,3,−2⟩,P(2,−1,−3)PQ→=⟨−1,3,−2⟩=⟨q1−2,q2+2,q3+3⟩Q(1,1,−5)iv)PQ→=⟨2,−3,−4⟩,Q(3−1,4)PQ→=⟨2,−3,−4⟩=⟨3−p1,−1−p2,4−p3⟩P(1,2,8)

Commented by zakirullah last updated on 21/Oct/20

thanks sir

thankssir

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