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Question

Consider the two vectors A=3^i2^j and B=^i4^j. Calculate (a) A+B. (b) AB. (c) |A+B|. (d) |AB|, and (e) the directions of A+B and AB

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Solution

Given,


A=3^i2^j and B=^i4^j

(a) A+B=(3^i2^j)+(^i4^j)=2i6j

(b) AB=(3^i2^j)(^i4^j)=4i+2j

(c) A+B=22+(6)2=40

(d) AB=42+22=20

Direction of (A+B) is = A+BA+B=2^i6^j40

Direction of (AB) is = ABAB=4^i+2^j20


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