If $$Z_1=-7+5 i$$ and $$Z_2=-7-3 i$$, then the value of $$Z_1-Z_2$$ is



<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>If $$Z_1=-7+5 i$$ and $$Z_2=-7-3 i$$, then the value of $$Z_1-Z_2$$ is

</textarea>If <math><semantics><mrow><msub><mi>Z</mi><mn>1</mn></msub><mo>=</mo><mo>−</mo><mn>7</mn><mo>+</mo><mn>5</mn><mi>i</mi></mrow><annotation encoding="application/x-tex">Z_1=-7+5 i</annotation></semantics></math>Z​1​​=−7+5i and <math><semantics><mrow><msub><mi>Z</mi><mn>2</mn></msub><mo>=</mo><mo>−</mo><mn>7</mn><mo>−</mo><mn>3</mn><mi>i</mi></mrow><annotation encoding="application/x-tex">Z_2=-7-3 i</annotation></semantics></math>Z​2​​=−7−3i, then the value of <math><semantics><mrow><msub><mi>Z</mi><mn>1</mn></msub><mo>−</mo><msub><mi>Z</mi><mn>2</mn></msub></mrow><annotation encoding="application/x-tex">Z_1-Z_2</annotation></semantics></math>Z​1​​−Z​2​​ is
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<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea>Given that,
$$ Z_1=-7+5 i ; \quad Z_2=-7-3 i $$
$$ Z_1-Z_2=(-7+5 i)-(-7-3 i)=-7+5 i+7+3 i=0+8 i$$


</textarea>Given that, <math><semantics><mrow><msub><mi>Z</mi><mn>1</mn></msub><mo>=</mo><mo>−</mo><mn>7</mn><mo>+</mo><mn>5</mn><mi>i</mi><mo separator="true">;</mo><mspace width="1em"></mspace><msub><mi>Z</mi><mn>2</mn></msub><mo>=</mo><mo>−</mo><mn>7</mn><mo>−</mo><mn>3</mn><mi>i</mi></mrow><annotation encoding="application/x-tex"> Z_1=-7+5 i ; \quad Z_2=-7-3 i </annotation></semantics></math>Z​1​​=−7+5i;Z​2​​=−7−3i <math><semantics><mrow><msub><mi>Z</mi><mn>1</mn></msub><mo>−</mo><msub><mi>Z</mi><mn>2</mn></msub><mo>=</mo><mo>(</mo><mo>−</mo><mn>7</mn><mo>+</mo><mn>5</mn><mi>i</mi><mo>)</mo><mo>−</mo><mo>(</mo><mo>−</mo><mn>7</mn><mo>−</mo><mn>3</mn><mi>i</mi><mo>)</mo><mo>=</mo><mo>−</mo><mn>7</mn><mo>+</mo><mn>5</mn><mi>i</mi><mo>+</mo><mn>7</mn><mo>+</mo><mn>3</mn><mi>i</mi><mo>=</mo><mn>0</mn><mo>+</mo><mn>8</mn><mi>i</mi></mrow><annotation encoding="application/x-tex"> Z_1-Z_2=(-7+5 i)-(-7-3 i)=-7+5 i+7+3 i=0+8 i</annotation></semantics></math>Z​1​​−Z​2​​=(−7+5i)−(−7−3i)=−7+5i+7+3i=0+8i
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