# what magnitude is not possible when a vector of magnitude 3 is added to a vector of magnitude 4 [Solved]

You have to consider all the possible ranges at which the vectors can be pointed towards. Assume the vectors are tail to tail. If they were to point at the same direction what would their sum be Since theyre in the same direction, it will be 7.

If they were in an opposite direction what will their sum be One would be 4 (or -4 depending which you consider to be a positive direction), one would be the (opposite sign)3, so youll have -1, vector of magnitude 1. Moving the angle between the two vectors between zero and 180, this will be your range of possible values for vector addition, the only one that it cant be is answer 3, zero, since this falls out of the range of possible values.

When adding two vectors of unspecified direction, the sum must be between the sum of the magnitudes and the difference of the magnitudes. If the two vectors are in the same direction, the sum vectors magnitude will equal the sum of the magnitudes of the original vectors. If the two vectors are in opposite directions, the sum vectors magnitude will equal the difference of the magnitudes of the original vectors.

If they were in an opposite direction what will their sum be One would be 4 (or -4 depending which you consider to be a positive direction), one would be the (opposite sign)3, so youll have -1, vector of magnitude 1. Moving the angle between the two vectors between zero and 180, this will be your range of possible values for vector addition, the only one that it cant be is answer 3, zero, since this falls out of the range of possible values.

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You have to consider all the possible ranges at which the vectors can be pointed towards. Assume the vectors are tail to tail. If they were to point at the same direction what would their sum be Since theyre in the same direction, it will be 7.

This post is last updated on hrtanswers.com at Date : 1st of September – 2022