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[" The scalar product of the vector "hat i+hat j+hat k" with a unit vector along the sum of "],[" vectors "hat i+4hat j-5hat k" and "lambdahat i+2hat j+3hat k" is equal to "1." Find the value of "lambda]

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The scalar product of the vector hat i+ hat j+ hat k with a unit vector along the sum of vector 2 hat i+4 hat j-5 hat k and lambda hat i+2 hat j+3 hat k is equal to one. Find the value of lambda .

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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=2 hat i+4 hat j-5 hat k\ a n d\ vec c=lambda hat i+2 hat j+3 hat k is equal to 1. Find the value of lambda and hence find the unit vector along vec b+ vec cdot

The scaler product of the vector hat (i) + hat (j) + hat (k) with the unit vector along the sum of vectors 2 hat (i) + 4 hat (j) - 5 hat (k) and lambda hat (i) + 2 hat (j) + 3 hat (k) is equal to one . Find the value of lambda