Question

Let $a_1 = \begin{bmatrix} 1 \\ 2 \\ -1 \end{bmatrix}$, $a_2 = \begin{bmatrix} -7 \\ -7 \\ 3 \end{bmatrix}$, and $b = \begin{bmatrix} 5 \\ -11 \\ h \end{bmatrix}$. For what value(s) of h is b in the plane spanned by $a_1$ and $a_2$?

          Let $a_1 = \begin{bmatrix} 1 \\ 2 \\ -1 \end{bmatrix}$, $a_2 = \begin{bmatrix} -7 \\ -7 \\ 3 \end{bmatrix}$, and $b = \begin{bmatrix} 5 \\ -11 \\ h \end{bmatrix}$. For what value(s) of h is b in the plane spanned by $a_1$ and $a_2$?

Let a1 =
< b m a t r i x >, a2 =
< b m a t r i x >, and b =
< b m a t r i x >. For what value(s) of h is b in the plane spanned by a1 and a2?

Added by Crystal H.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Sanchit Jain

Step 1

The plane spanned by two vectors is the set of all linear combinations of those vectors. So, the plane spanned by a and a n^2 can be written as: P = {c1 * a + c2 * (a n^2) | c1, c2 ∈ ℝ} Show more…

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The value of h is ist Help What value(s) of h is/are in the plane spanned by a and a n^2 The value(s) of h is/are. Use a comma to separate answers as needed.