Given \( \mathbf{v}=-\mathbf{i}+\mathbf{j} \) and \( \mathbf{w}=\mathbf{i}+\mathbf{j} \) (a) find the dot product \( \mathbf{v} \cdot \mathbf{w} \); (b) find the angle between \( \mathbf{v} \) and \( \mathbf{w} \); (c) state whether the vectors are parallel, orthogonal, or neither. (a) \( \mathbf{v} \cdot \mathbf{w}=\square \)

What is anoher way to name \( \angle D E F \) ? select each correct answer. - \( \angle E D F \) - \( \angle F \) - \( \angle D F E \) - \( \angle E \) - \( \angle D \) - \( \angle F E D \)

Which of the following describes supplementary angles? A. Angles that areadjacent. B. Two or more angles whose sum equals 360 degrees. C. Two angles whose sumequals 180 degrees. D. Angles whose measurements equal 90 degrees.

What geometric term does the surface of a parking lot represent? point line plane angle

Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: \( (-2,0),(2,0) ; y \)-intercepts: -9 and 9 Type the standard form of the equation. (Type an equation. Simplify your answer.)

Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of major axis: \( (4,10) \) and \( (4,4) \) Endpoints of minor axis: \( (6,7) \) and \( (2,7) \) Standard form of the equation: