Let U and W be arbitrary subspaces in vector space V with dimensions dim U=6 and dimW=4. Which of the following conclusions is not correct? (a) If dimV=9, then dim(U∩W)≥1. (b) If dim(U∩W)=3, then dim(U+W)=7. (c) If dim(U+W)=6, then W⊆U. (d) If dim(U∩W)=4, then W⊆U. (e) If dimV=12, then U∩W={0}.
Let U and W be arbitrary subspaces in vector space V with dimensions dim U=6 and dimW=4. Which of the following conclusions is not correct? (a) If dimV=9, then dim(U∩W)≥1. (b) If dim(U∩W)=3, then dim(U+W)=7. (c) If dim(U+W)=6, then W⊆U. (d) If dim(U∩W)=4, then W⊆U. (e) If dimV=12, then U∩W={0}.
Let U and W be arbitrary subspaces in vector space V with dimensions dim U=6 and dimW=4. Which of the following conclusions is not correct? (a) If dimV=9, then dim(U∩W)≥1. (b) If dim(U∩W)=3, then dim(U+W)=7. (c) If dim(U+W)=6, then W⊆U. (d) If dim(U∩W)=4, then W⊆U. (e) If dimV=12, then U∩W={0}.
Let U and W be arbitrary subspaces in vector space V with dimensions dim U=6 and dimW=4. Which of the following conclusions is not correct? (a) If dimV=9, then dim(U∩W)≥1. (b) If dim(U∩W)=3, then dim(U+W)=7. (c) If dim(U+W)=6, then W⊆U. (d) If dim(U∩W)=4, then W⊆U. (e) If dimV=12, then U∩W={0}.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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