Answer
true
Work Step by Step
$\langle c_1v_1+c_2v_2,w\rangle=\langle c_1v_1,w\rangle+\langle c_2v_2,w\rangle=c_1\langle v_1,w\rangle+c_2\langle v_2,w\rangle=c_1\cdot0+c_2\cdot0=0 $
Thus the statement is true.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.