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USPshnik [31]
3 years ago
9

Suppose v1 , v2 , v3 ,v4 are vectors in R3.

Mathematics
1 answer:
mestny [16]3 years ago
5 0

Answer:

a. These four vectors are dependent because there are columns of 3 by 4 matrix with one free variable.

b. If one is a multiple of other

c. c1v1 + c20 = 0 has nontrivial solution.

Step-by-step explanation:

Any set of 4 or more vectors must be linearly dependent. The non trivial combination of vector may produce zero as the set is linearly dependent. The vector v1 and v2 will be dependent if one is the multiple of the other.

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<h3>Answers:</h3>
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====================================================

Explanation:

Focus on triangles SVT and UVT.

They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.

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Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.

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