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If the vectors (1.0, –1.0, 2.0) (7.0, 3.0, x) (2.0, 3.0, 1.0) in are linearly dependent, the value of x is _____.
    Correct answer is '8'. Can you explain this answer?
    Most Upvoted Answer
    If the vectors (1.0, –1.0, 2.0) (7.0, 3.0, x) (2.0, 3.0, 1.0) in...
    Given
    According to Question given vectors are (1.0, –1.0, 2.0), (7.0, 3.0, x) and (2.0, 3.0, 1.0) are linearly dependent.
    We know that the determinant of linearly dependent vectors are zero.
    1(3 − 3x)+ 1(7 − 2x) + 2(21 − 6) = 0
    3−3x+ 7 − 2x + 30 = 0
    5x =40
    x = 8
    Hence, the correct answer is 8.
    Question_Type: 4
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    Community Answer
    If the vectors (1.0, –1.0, 2.0) (7.0, 3.0, x) (2.0, 3.0, 1.0) in...
    Given
    According to Question given vectors are (1.0, –1.0, 2.0), (7.0, 3.0, x) and (2.0, 3.0, 1.0) are linearly dependent.
    We know that the determinant of linearly dependent vectors are zero.
    1(3 − 3x)+ 1(7 − 2x) + 2(21 − 6) = 0
    3−3x+ 7 − 2x + 30 = 0
    5x =40
    x = 8
    Hence, the correct answer is 8.
    Question_Type: 4
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    If the vectors (1.0, –1.0, 2.0) (7.0, 3.0, x) (2.0, 3.0, 1.0) in are linearly dependent, the value of x is _____.Correct answer is '8'. Can you explain this answer?
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