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Find the scalr and vector products of tw...

Find the scalr and vector products of two vectors ` vec a =(3 hat I - 4 hat j + 5 hat k) and

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The scalar product of the vector vec a=hat i+hat j+hat k with a unit vector along the sum of the vectors vec b=2hat i+4hat j-5hat k and vec c=lambdahat i+2hat j+3hat k is equal to 1. Find the value of lambda and hence find the unit vector along vec b+vec r