Let α → = λ - 2   a → + b → and β → = 4 λ - 2   a → + 3 b → , be two given vectors where vectors a → and b → are non-collinear. The value of λ for which vectors α → and β → are collinear, is:

Question

Let &#945; &#8594; = &#955; - 2 &#160; a &#8594; + b &#8594; and &#946; &#8594; = 4 &#955; - 2 &#160; a &#8594; + 3 b &#8594; , be two given vectors where vectors a &#8594; and b &#8594; are non-collinear. The value of &#955; for which vectors &#945; &#8594; and &#946; &#8594; are collinear, is:

Aicharya · Accepted Answer

&#8757; &#945; &#8594; , &#8201; &#946; &#8594; are collinear then, &#955; - 2 4 &#955; - 2 = 1 3 &#8658; &#955; = - 4 .

Let α → = λ - 2   a → + b → and β → = 4 λ - 2   a…

Solution

Let &#945; &#8594; = &#955; - 2 &#160; a &#8594; + b &#8594; and &#946; &#8594; = 4 &#955; - 2 &#160; a…

Solution

Let α → = λ - 2 a → + b → and β → = 4 λ - 2 a…