1 -1 0 V2 -0)- -A. V3 = 0 1 -1 Solve the vector equation x₁v₁ + x2V2 + X3V3 = V. Let V1 = 1 0 -1 - 9 and v= -7 -3 2 8
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- Express the vector -9-7x- 15x² as a linear combination of p₁ = 2 + x +4x², p₂ = 1- x + 3x² and p3 3 + 2x + 5x²Calculate 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) =isto 5 4 3 2 - 4c = < 1 5 -4 -3 -2 -1 -1 -2 wŃ -3 -4 1 2 3 4 Find the components of the vector -4c based on the vector shown.
- Solve for the vector x in terms of the vectors a and b. (If needed, use BOLD vector form on calcPad Vector menu.) x + 4a - b = 4(x + a) - (2a - b) X =How do you add two vectors algebraically? Geometrically?Describe all solutions of Ax = 0 in a vector form, where %3D -4 -2 0 3 -5 20 -1 0 0 0 0 1 | 1 A = 1 -4
- a = 2 ,8 ,2 ,−2 ,−4,−3 ,−11, −4 ,9 ,7and b = 8,−1.SOLVE Ax =b for x , and write x in parametric vector form.The set containing the elements specified also possesses its relevant operations of multiplication over reals and vector addition. Is the set a real vector space?Are the vectors -2-², 1+ 2x + x² and 2x - 2-2 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=(x-2-x²)+[ | (1 + 2x + x²)+ (2x − 2 − x²).