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Vectors (Edexcel GCSE Maths: Foundation): Flashcards

Exam code: 1MA1

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Cards in this collection (9)

  • What is a vector?

    A vector is a type of number with both size and direction.

    A vector with its magnitude and direction labelled.

  • True or False?

    stack B A with rightwards arrow on top represents the vector from B to A.

    True.

    stack B A with rightwards arrow on top represents the vector from B to A.

  • How do you write "3 to the left and 2 up" as a column vector?

    "3 to the left and 2 up" can be written as the column vector open parentheses table row cell negative 3 end cell row 2 end table close parentheses.

  • True or False?

    The vector open parentheses table row 2 row 3 end table close parentheses must be drawn starting at open parentheses 0 comma space 0 close parentheses and ending at the point open parentheses 2 comma space 3 close parentheses.

    False.

    The vector open parentheses table row 2 row 3 end table close parentheses does not need to be drawn starting at open parentheses 0 comma space 0 close parentheses and ending at the point open parentheses 2 comma space 3 close parentheses.

    The vector can start at any point, as long as it goes 2 to the right and 3 up.

  • How do you add two column vectors?

    To add two column vectors, add together the numbers in the corresponding parts of the vector.

    For example, open parentheses table row 1 row 2 end table close parentheses plus open parentheses table row 3 row cell negative 5 end cell end table close parentheses equals open parentheses table row cell 1 plus 3 end cell row cell 2 plus open parentheses negative 5 close parentheses end cell end table close parentheses equals open parentheses table row 4 row cell negative 3 end cell end table close parentheses.

  • True or False?

    5 cross times open parentheses table row 3 row 4 end table close parentheses equals open parentheses table row 15 row 4 end table close parentheses

    False.

    5 cross times open parentheses table row 3 row 4 end table close parentheses not equal to open parentheses table row 15 row 4 end table close parentheses.

    To multiply a vector by a scalar, you need to multiply all parts of the vector by the scalar.

    5 cross times open parentheses table row 3 row 4 end table close parentheses equals open parentheses table row cell 5 cross times 3 end cell row cell 5 cross times 4 end cell end table close parentheses equals open parentheses table row 15 row 20 end table close parentheses.

  • If you know what the vectors bold a and bold b look like, how can you draw the vector bold a plus bold b?

    If you know what the vectors bold a and bold b look like, to draw the vector bold a plus bold b:

    • Draw the vector bold a

    • Draw the vector bold b starting at the end of bold a

    • Draw a vector from the start of bold a to the end of bold b

    An arrow representing vector a has an arrow representing vector b starting from its end point. The resultant vector, a + b is drawn as an arrow that starts from the start point of vector a and ends at the end point of vector b.

  • True or False?

    The vector 2 bold a is in the same direction as bold a but is double the length of bold a.

    True.

    The vector 2 bold a is in the same direction as bold a but is double the length.

    Scalar multiples of a vector change the length of the vector.

  • What is the geometrical relationship between the vectors bold a and negative bold a?

    The vectors bold a and negative bold a have the same length but they are in opposite directions.

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