hi i got some question that i dont understand,hope someone could help me with them,thanks so much.:'(

i] Find intersection of two lines

L1:={(1) + altha(1) :altha ER}

(2) (1)

(1) (2)

L2:={(2) + mu(2) :mu ER}

(2) (1)

(1) (2)

how come is (0) ?

(1)

(-1)

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ii] Find intersection of two planes

P1:={(2) + lamda1(2) +lamda2 (1) :lamda1,lamda2 ER}

(2) (1) (2)

(3) (2) (2)

P2:={(3) + mu1(2) +mu2 (3) :mu1,mu2 ER}

(1) (3) (2)

(3) (2) (3)

how come is {(1) + lamda1 (2) :lamda1 ER}??(0) (1)

(1) (2)

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iii]V=R^3 and subspaces

W1 = {(x) ER^3 :5x +2y -z =0 }

(y)

(z)

W2=span:{(1) , (2) , (4) }

(1) (1) (3)

(1) (3) (5)

find bases for W1,W2,W1+W2 and intersection of W1 and W2.

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Once again thank you so much for your time and attention,

It would help alot if i understand the questions