If a and b are vectors such that |a| = 13 , |b| = 5 and a\cdotb = 60 then the value of |a\timesb| is;

NIMCET 2015 Question Paper with solutions

Question : 38 of 120

Marks: +1, -0

If a and b are vectors such that

|a|

= 13 ,

|b|

= 5 and

a⋅b

= 60 then the value of

|a×b|

is;

Solution:

We have

|a|=13,|b|=5,a⋅b=60

|a×b|=√{|a|^{2}⋅|b|^{2}-(a⋅b)^{2}}

|a×b|=√{13^{2}×5^{2}-(60)^{2}}

=√{169×25-3600}

=√{4425-3600}=√{625}=25

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