MathsVectors Assistance PLZZ!
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Prove with vectors that for every triangle the lenght of one side is smaller than the sum of the other two sides.
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Triangle ABC with D, E and F the midpoints of BC, AC, and AB. G is the midpoint of AD such that the ratio AG:GD =2:1, VECtors AB =p and BC =q Prove that B, G and E are collinear. prove the same results for point C, G and G
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Triangle ABC with D, E and F the midpoints of BC, AC, and AB. G is the midpoint of AD such that the ratio AG:GD =2:1, VECtors AB =p and BC =q Prove that B, G and E are collinear. prove the same results for point C, G and F
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Let V be the set of vectors (2x3y, x+2y, y, 4x) with x,y elements of 2 dimensional space. Addition and scalar multiplication are defined in the same way as on vectors. Prove that V is a vector space. Also, point out a basis of
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Prove that If a vector space is of dimension n and a set of vectors spans V, then that set of vectors must be linearly independent.
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