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Clear["Global`*"];
a = {0, 0, 0};
b = {2, 0, 0};
c = {0, 2, 0};
a1 = {-1, 0, Sqrt[3]};
b1 = {1, 0, Sqrt[3]};
c1 = {-1, 2, Sqrt[3]};
d = {0, 0, Sqrt[3]};
eq = b1 + n1 (c1 - b1) + n2 (a1 - b1) == a + m1 (b1 - a) + m2 (c - a)
sol = First@Solve[eq, {n1, n2, m1, m2}]

What is the reason for this prompt when using solve to solve the vector equation above? How to avoid such prompts?

enter image description here

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    $\begingroup$ You have 4 unknowns and 3 equations - see the docs. If you try to create 4 equations for example do you still get an message? $\endgroup$
    – bmf
    Commented Dec 5, 2023 at 8:10
  • $\begingroup$ @bmf This prompt turns out to have more unknowns than equations，thx $\endgroup$
    – csn899
    Commented Dec 5, 2023 at 10:49

1 Answer 1

Reset to default
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Replacing Solve by Reduce succeeds.

sol = Reduce[eq, {n1, n2, m1, m2}]

n2 == -n1 && m1 == 1 && m2 == n1

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