The points A and B are located at (-1,4,0) and (2,-3,5) respectively. Calculate the distance from point A to B. a. i - j + 5k b. -i - j - 5k c. i + j + 5k d. i + j - 5k

Which of the following is true for vector addition in a linear vector space? I. It is commutative. II. It is associative. III. The vector sum of two vectors each in the linear vector space is also in the same linear vector space. O I. and III. O I. and II. O 1., II., and III. O II. and III.

How do I set up these problems?

2. A car is traveling at a speed of 31 m/s. a. What is its speed in kilometers per hour? b. Is it exceeding the 90 km/h speed limit?

CLO 4 If the plane x+y+z-1=0 cuts the x-axis, y-axis, and z-axis at A, B, and C respectively. Find the perpendicular distance to the point P(2,6,9). В а. 9.24 b. 8.66 С. 9.81 d. None of the choices О е. 5.33 f. 5.67 N.

need help with 9 and 10

4. A plane traveling at 192 km/h [N] is blown eastward by the wind with a speed of 56.0 km/h. What is the velocity of the plane with respect to the ground? a. 1.36 x102 km/h [E 16.3o S]b. 2.00x102 km/h [N 16.3o E]c. 2.00x102 km/h [N 73.7o E]d. 2.48x102 km/h [E 73.7o S]e. 1.36 x102 km/h [N 73.7o E]

The small washer is sliding down the cord OA. When it is at the midpoint, its speed is 29 m/s and its acceleration is 8 m/s². (Figure 1) Part A Express the velocity of the washer at this point in terms of its cylindrical components. Express your answers in meters per second to three significant figures separated by commas. ► View Available Hint(s) Ur, Ue. Uz = Submit || ΑΣΦ Part B Complete previous part(s) ↓↑ vec ? m/s

You want to get  bright spot on the screen that is the shape of the number 5 . What should you do to achieve this ? Why?

how to calculate those V1 , I1 and V2,I2,R2 ? V3 = 20V It = 2.0A