Use the following vectors to answer parts (a) and (b). v1equals[start 3 by 1 matrix 1st row 1st column 1 2nd row 1st column negative 3 3rd row 1st column 4 endmatrix ], v2equals[start 3 by 1 matrix 1st row 1st column negative 3 2nd row 1st column 9 3rd row 1st column negative 12 endmatrix ], v3equals[start 3 by 1 matrix 1st row 1st column 3 2nd row 1st column 5 3rd row 1st column h endmatrix ](a) for what values of h is v3 in span{v1, v2}? (b) for what values of h is {v1, v2, v3} linearly dependent?

this is a very good question

step-by-step explanation:

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i ran through it by the other answer is wrong

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it