If A = 2 and  B = 4, then match the relations in column I with the angle θ between A B and in column II. Column I Column II °

<p>This is a Short Answer Type Questions as classified in NCERT Exemplar</p><p><strong>Explanation-&nbsp;</strong>given |A|=2 and |B|=4</p><p>a)|A<span contenteditable="false"> <math> <mo>×</mo> <mi>B</mi> </math> </span>|=AB sin<span contenteditable="false"> <math> <mi>θ</mi> </math> </span>= 0</p><p>so 2<span contenteditable="false"> <math> <mo>×</mo> <mn>4</mn> </math> </span>sin<span contenteditable="false"> <math> <mi>θ</mi> </math> </span>=0</p><p>so <span contenteditable="false"> <math> <mi>θ</mi> <mo>=</mo> <mn>0</mn> </math> </span>so it matches with iv</p><p>B) |A<span contenteditable="false"> <math> <mo>×</mo> </math> </span>B|= ABsin<span contenteditable="false"> <math> <mi>θ</mi> </math> </span>=8</p><p>2<span contenteditable="false"> <math> <mo>×</mo> <mn>4</mn> </math> </span>sin<span contenteditable="false"> <math> <mi>θ</mi> </math> </span>=8</p><p>So <span contenteditable="false"> <math> <mi>θ</mi> </math> </span>= 90 so it matches with option iii</p><p>c) |A<span contenteditable="false"> <math> <mo>×</mo> </math> </span>B|= ABsin<span contenteditable="false"> <math> <mi>θ</mi> </math> </span>=4</p><p>so <span contenteditable="false"> <math> <mi>θ</mi> </math> </span>=30 so it matches with option i</p><p>d) |A<span contenteditable="false"> <math> <mo>×</mo> </math> </span>B|= ABsin<span contenteditable="false"> <math> <mi>θ</mi> </math> </span>=4<span contenteditable="false"> <math> <mroot> <mrow> <mrow> <mn>2</mn> </mrow> </mrow> <mrow></mrow> </mroot> </math> </span></p><p>so<span contenteditable="false"> <math> <mi>θ</mi> </math> </span> =45 so it matches with option ii</p>

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