-3 Let v1 = ----- -2 v2 = 1 v3 = -6 3 -3 v3}. Find the basis for H. and the H = span{v1, v2,
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- Find the vector that has the same direction as <6, 3, −2> but has length 2.Let v1, v2, v3 be the vectors in R^3 defined by: v1=[0 5 8], v2=[12,-20,5], v3=[-12,15,-13] a). Is {v1,v2,v3} linearly independent? Write all zeroes if it is, or if it is linearly dependent write the zero vector as a non-trivial (not all zero coefficients) linear combination of v1, v2, and v3. a). Is {v1,v2} linearly independent? Write all zeroes if it is, or if it is linearly dependent write the zero vector as a non-trivial (not all zero coefficients) linear combination of v1 and v2. c). Write the dimension of span {v1,v2,v3}What is the component form of the vector with an initial point of (-2,5) and a terminal point of (7,-3)?
- find the components of the vector PQ. P = (-}, 3, 1), Q = (4, 6, 0)The set containing the elements specified also possesses its relevant operations of multiplication over reals and vector addition. Is the set a real vector space?Show that the vectors are linearly dependent or linearly independent. note: {2t^2 − 1, t + 1},P2:The space of all polynomials with a degree less than 2 and 2