Question

The dot product of a vector with itself is the square of its Euclidean length. For vector (4, 3, -1) that value is Answer: 1 The component of (4, 3) that is orthogonal to (1, 1) is Select one: $\left(\frac{1}{2}, -\frac{1}{2}\right)$. none of the other answers are correct. $(1, -1)$. $\left(-\frac{1}{2}, \frac{1}{2}\right)$. Clear my choice 3 Which of the following is the orthogonal projection of $(1, 1, 1)$ onto $(2, 1, 3)$? Select one: $(4, 2, 6)$ $\frac{3}{7}(2, 1, 3)$ $\frac{3}{7}(1, 1, 1)$ $(2, 2, 2)$ Clear my choice 2 For linear transformation $T: \mathbb{R}^m \to \mathbb{R}^n$, the kernel is always a subspace of $\mathbb{R}^m$. Select one: True False 4

          The dot product of a vector with itself is the square of
its Euclidean length. For vector (4, 3, -1) that value is
Answer:
1
The component of (4, 3) that is orthogonal to (1, 1) is
Select one:
$\left(\frac{1}{2}, -\frac{1}{2}\right)$.
none of the other answers are correct.
$(1, -1)$.
$\left(-\frac{1}{2}, \frac{1}{2}\right)$.
Clear my choice
3
Which of the following is the orthogonal projection of
$(1, 1, 1)$ onto $(2, 1, 3)$?
Select one:
$(4, 2, 6)$
$\frac{3}{7}(2, 1, 3)$
$\frac{3}{7}(1, 1, 1)$
$(2, 2, 2)$
Clear my choice
2
For linear transformation $T: \mathbb{R}^m \to \mathbb{R}^n$, the kernel is
always a subspace of $\mathbb{R}^m$.
Select one:
True
False
4

The dot product of a vector with itself is the square of
its Euclidean length. For vector (4, 3, -1) that value is
Answer:
1
The component of (4, 3) that is orthogonal to (1, 1) is
Select one:
((1)/(2), -(1)/(2)).
none of the other answers are correct.
(1, -1).
(-(1)/(2), (1)/(2)).
Clear my choice
3
Which of the following is the orthogonal projection of
(1, 1, 1) onto (2, 1, 3)?
Select one:
(4, 2, 6)
(3)/(7)(2, 1, 3)
(3)/(7)(1, 1, 1)
(2, 2, 2)
Clear my choice
2
For linear transformation T: ℝ^m →ℝ^n, the kernel is
always a subspace of ℝ^m.
Select one:
True
False
4

Added by Elizabeth P.

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