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Unit vector
Last updated at Aug. 11, 2021 by Teachoo
Ex 10.3, 18 If π β is a nonzero vector of magnitude βaβ & Ξ» a nonzero scalar, then Ξ»π β is unit vector if (A) Ξ» = 1 (B) Ξ» = β 1 (C) a = |Ξ»| (D) a = 1/|"Ξ»" | Given, magnitude of vector π β is βaβ So, |π β | = a For a non zero scalar βΞ»β Ξ»π β is a unit vector Magnitude of Ξ»π β is 1 So, |"Ξ»" π β | = 1 |"Ξ»" ||π β | = 1 |"Ξ»" | π = 1 π = 1/|"Ξ»" | Hence, D is the correct answer.