3.7 Given , which of the following statements are correct…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

3.7 Given

\mathbf{a}+\mathbf{b}+\mathbf{c}+\mathbf{d}=\mathbf{0}

, which of the following statements are correct : (a)

\mathbf{a}, \mathbf{b}, \mathbf{c}

, and

\mathbf{d}

must each be a null vector, (b) The magnitude of

(\mathbf{a}+\mathbf{c})

equals the magnitude of ( b + d), (c) The magnitude of

\mathbf{a}

can never be greater than the sum of the magnitudes of

\mathbf{b}, \mathbf{c}

, and

\mathbf{d}

, (d)

\mathbf{b}+\mathbf{c}

must lie in the plane of

\mathbf{a}

and

\mathbf{d}

\mathbf{a}

and

\mathbf{d}

are not collinear, and in the line of

\mathbf{a}

and

\mathbf{d}

, if they are collinear ?

Related theory

Vectors
Vector Operations
Vector Algebra
Addition of vectors

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