Problem

Find the length of the vector v=3i^4j^+2k^

Answer

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Answer

Add the squared components: v=29

Steps

Step 1 :The formula to find the length or magnitude of a vector v=ai^+bj^+ck^ is given by v=a2+b2+c2

Step 2 :Substitute the given values into the formula: v=32+(4)2+22

Step 3 :Calculate the square of each component: v=9+16+4

Step 4 :Add the squared components: v=29

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