calculate the value of the scalar a such that x₁ = [ a -1 1 ], and x1 = [ 1 0 1 ] are orthogonal. Once you have found the value of a, normalize the vectors and check to see if they are still orthogonal.
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- Determine the magnitude of the vector difference V' = V₂-V₁ and the angle 0x which V' makes counterclockwise from the positive x- axis. The angle 8x will be a positive number between 0 and 360°. Complete both graphical and algebraic solutions. You will have to draw an accurate figure for the graphical solution. y V₂ = 15 units ex 5 Answers: V' = 3 i Mi V₁ = 23 units --x unitsDetermine the magnitude of the vector difference V' = V2 -V1 and the angle 0x which V' makes counterclockwise from the positive x- axis. The angle 0x will be a positive number between O and 360°. Complete both graphical and algebraic solutions. You will have to draw an accurate figure for the graphical solution. y V2 = 27 units %3D V = 37 units 4 34 --x Answers: Ox = units V' =ASAP
- Determine the magnitude of the vector difference V' = V₂ -V₁ and the angle 0x which V' makes counterclockwise from the positive x- axis. The angle 0x will be a positive number between 0 and 360° Complete both graphical and algebraic solutions. You will have to draw an accurate figure for the graphical solution. y V₂ = 18 units V₁ = 26 units 7 -x 5 Answers: 0x = i V' = i 33° unitsWrite the F1 as Cartesian vector. F1 = 100 lb 0 = 35 deg = 40 degFind the magnitude of the resultant vector in the following system of non collinear vectors. F1: Magnitude 50, Direction 120°F2: Magnitude 30, Direction 30°
- Determine the magnitude of the vector sum V = V₁ +2V₂ and the angle 0x which V makes counterclockwise from the positive x-axis. Complete both graphical and algebraic solutions. You will have to draw an accurate figure for the graphical solution. y V₂= 20 units V 2 40° Answers: 0x = 3 V= i 83.69 i V₁ = 29 units unitsQ1/ Given the vectors 7 = 31-j+k and 7 = 2i - 3j+ k, find the product x and verify that this vector is orthogonal to and u. Also, find the 7x7 and compare it with x X vectorA = 0,5 (42+2y), B = −42 y Č = 3ỹy. Consider the vectors Express the following vectors in their Cartesian coordinates and then find their respective magnitude and direction (angle they form with respect to the x axis). P=A+B-C.
- if a and b are vectors given by a = (î- 3ĵ+ 5k) and b = (2î+ 4ĵ + 6k), find a. a+b b. a - b c. a - b (the dot product of a and b or "a dot b")2. The three displacement vectors in the drawing have magnitudes of A=6.00m, B=6.5m, and C=4.00m. Find the resultant (magnitude and angle) of the three vectors by means of the component method. Express the angle as an angle above the positive or negative x-axis. X. 20.0° 60.0° +X 10 2O vector A is (Qm) Long ond is 60above the xis Vectar B is (am) Long ond is 60 below the Xaxis Find the vectar sumA+B. O the vector diffexence A-B and 12-A