If a point A, the position vector ai + bj lies on the line L, vector equations r = 2i +5j +c(i-j), find the value of a

If a point A, the position vector ai + bj lies on the line L, vector equations r = 2i +5j +c(i-i), find the value of a

Give the vector equation of the line passing through P and Q. P = (1, -4), Q = (5,0) -8-8 + t =

a⃗ =⟨5, −1⟩ and b⃗ =⟨−2,−2⟩. Represent a⃗ +b⃗  using the head to tail method. Use the Vector tool to draw a⃗  and b⃗ , complete the head to tail method, and draw a⃗ +b⃗ .

The vectoru = (3140, 2650) gives the numbers of hamburgers and hot dogs, respectively, sold at a fast-food stand in one month. The vector v = (2.25, 1.75) gives the prices (in dollars) of the food items. Find the dot product u · v. Interpret the result in the context of the problem. O The dot product represents the total revenue earned from selling the hamburgers and hot dogs. O The dot product represents the the total number of hamburgers and hot dogs sold. O The dot product represents the total revenue earned from selling just the hot dogs. O The dot product represents the total revenue earned from selling just the hamburgers.

a⃗ =⟨5, −1⟩ and b⃗ =⟨−2,−5⟩. Represent a⃗ +b⃗  using the head to tail method. Use the Vector tool to draw a⃗  and b⃗ , complete the head to tail method, and draw a⃗ +b⃗ . To use the Vector tool, select the initial point and then the terminal point.

Part B: Fill in the blanks 3. If a = 3x - 5y and b = -2x+9y, write the vector 5a-8b in terms of x and y

Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k = 11 6 i+ 11 6 7 i+ 11 11 - -- (Simplify your answers. Use integers or fractions for any numbers in the expression.)

Determine a vector equation for a line that goes through the following points: (-8, 7, 8) and (-10, 13, 4)