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- d= (4, - 1) and 6= (-1, -4). Represent a+ bby using the head to tail method. Use the Vector tool to draw the vectors, complete the head to tail method, and draw a- Do not draw any unnecessary vectors. To use the Vector tool, select the initial point and then the terminal point. + Move Vector * Undo + Redo x ResetExpress the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k =[ODi+Di+ (Dk] (Simplify your answers. Use integers or fractions for any numbers in the expression.)Let a, b, and x denote vectors in R,,. (a) Simplify 3a + (5b -2a) + 2(b - a). (b) If 5x - a = 2(a + 2x),solve for x in terms of a.
- How do you subtract two vectors algebraically? Geometrically?If z1 = (3,7) and 22 (5,-6), then 2122 is equal to what? A. (57, 17) В. (15, - 42) С. (15, 42) D. (57,-17)Express the vector - 6i+ 6j + 7k as a product of its length and direction. - 6i + 6j + 7k =Oi+ (Di+ ()k] (Simplify your answers. Use integers or fractions for any numbers in the expression.)
- Consider the following quadratic equation: Bx + (5x^2)/2 + (5y^2)/4 + y/(sqrt(2)) + 1 = 0 Check the alternative that contains ALL values of B for which the equation represents a single point on the Cartesian plane. a. The given equation represents a single point for any real value of Bb. -3 < B < 3c. B = 3 or B = -3d. B > 3 or B < -3e. B = 5 or B = -5Calculate the velocity and acceleration vectors and the speed of r(t) = (6+²₁² ²1 1 > at the time t = 4. 6+1² (Use symbolic notation and fractions where needed. Give your answer in the vector form.) v(4) = a(4) = Calculate the speed of r(t) at the time t = 4. (Use symbolic notation and fractions where needed.) v(4) =hello. can you solve the questions below? Write the coordinate vector for the polynomial 1+6t^2-t^3 Write the coordinate vector for the polynomial t+2t^3 Write the coordinate vector for the polynomial 1+t+6t^2
- 4. Express (-2V3 + j2) in rectangular form.Are the vectors -6 -9x+9x², 3x - 12 + 6x² and 10+ x - 7² linearly independent? choose If the vectors are independent, enter zero in every answer blank since zeros are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. 0= (-6-9x + 9x²)+| (3x - 12+ 6x²)+ (10 + x - 7x²).Solve (u+2)^2/3=-2 where u is a real number. Simplify your answer as much as paossible. (If there is more than one solution, seperate them with commas.)