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What is the value of b such that the sca...

What is the value of b such that the scalar product of the vector `hat(i)+hat(j)+hat(k)` with the unit vector parallel to the sum of the vectors `2hat(i)+4hat(j)-5 hat(k) and b hat(i)+2hat(j)+3hat(k) ` is unity ?

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What is the value of b such that the scalar product of the vector hat(i) + hat(j) + hat(k) with the unit vector parallel to the sum of the vectors 2hat(i) + 4hat(j)-5hat(k) and b hat(i) + 2hat(j) + 3hat(k) is unity ?

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