9,11) and D(x,y,z) be the vertices of a parallelogramAs we know,Diagonals of a parallelogram bisect each other∴ MIDPOINT of AC = midpoint of BD\(\left( {\frac{{1 + 7}}{2},\frac{{1 + 9}}{2},\frac{{1 + 11}}{2}} \right) = \left( {\frac{{1 + x}}{2},\frac{{3 + y}}{2},\frac{{5 + z}}{2}} \right)\)Comparing both SIDES, we get1 + 7 = 1 + xx = 7And, 1 + 9 = 3 + yy = 7And, 1 + 11 = 5 + zz = 7∴ Position VECTOR of fourth vertex is 7(i + j + k)

"> 9,11) and D(x,y,z) be the vertices of a parallelogramAs we know,Diagonals of a parallelogram bisect each other∴ MIDPOINT of AC = midpoint of BD\(\left( {\frac{{1 + 7}}{2},\frac{{1 + 9}}{2},\frac{{1 + 11}}{2}} \right) = \left( {\frac{{1 + x}}{2},\frac{{3 + y}}{2},\frac{{5 + z}}{2}} \right)\)Comparing both SIDES, we get1 + 7 = 1 + xx = 7And, 1 + 9 = 3 + yy = 7And, 1 + 11 = 5 + zz = 7∴ Position VECTOR of fourth vertex is 7(i + j + k)

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The position vectors of three consecutive vertices of a parallelogram are i + j + k, i + 3j + 5k and 7i + 9j + 11k the position vector of the fourth vertex is

Current Affairs General Awareness in Current Affairs . 6 months ago

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Concept:Diagonals of a parallelogram bisect each otherCalculation:Given:Let A(1,1,1), B(1,3,5), C(7,9,11) and D(x,y,z) be the vertices of a parallelogramAs we know,Diagonals of a parallelogram bisect each other∴ MIDPOINT of AC = midpoint of BD\(\left( {\frac{{1 + 7}}{2},\frac{{1 + 9}}{2},\frac{{1 + 11}}{2}} \right) = \left( {\frac{{1 + x}}{2},\frac{{3 + y}}{2},\frac{{5 + z}}{2}} \right)\)Comparing both SIDES, we get1 + 7 = 1 + xx = 7And, 1 + 9 = 3 + yy = 7And, 1 + 11 = 5 + zz = 7∴ Position VECTOR of fourth vertex is 7(i + j + k)

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Posted on 01 Nov 2024, this text provides information on Current Affairs related to General Awareness in Current Affairs. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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