2. If a=2i+4j-5k and b=3i-2j+6k determine: (i) a b (ii) a+b (iii) a X b (iv) the angle between a and b.
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A: Given that,Vector:A=8.6angle θ=37°To be asked in question,vector components=?
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A: This question can be easily solved by applying the basic concept of vectors and scalars .


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- Given: A: A₂ = 43.4, Ay = 35.4 B: (B= 16.3 OB = 39.7° (a) Calculate the x-components and y-components of B. B₁ = 9. By= (b) Calculate the length and direction of Ã. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. A = 9- 0A= (c) Calculate the components of the vector sum of A + B = Ć: CT= 9. 0c= 9. Cy= (d) Calculate the length and direction of C: Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. C= 9- 0 9.5..4) Two vectors have equal magnitudes of 2.0 m. Find graphically the angle between them if the magnitude of their resultant is (a) 3.0 m; (b) 1.0 m. In each case use the law of cosines to confirm your answer. Problems 3 and 4 are graphical solutions. Please use a protractor, ruler, and compass and work as accurately as possible. Alternatively, you could use a vector drawing program to work out the geometry
- Given the vectors i =(- 3, 7, 4] and y = [- 6, 0, 8], determine b) proj „ . a) The angle between i and ỹ6. Given vectors Ã= 2â, + 4ây + 10â, and B = -5âp + âo – 3âz, find (a) Ã+ B at P(0, –2,5) , with o = 90° (b) ÷Ē (c) Ã× B (d) The angle between A and B at P (e) The scalar component of A along B at Pa. The two parallel lines (1, m) drawn below ate intersected by a third line. If angle 1 is 20 degrees, what are the values of the other angles 2, 3, 4, 5, 6, 7? 4 7/2 5 6 b. Given the geometry shown below, what is the value of the angle a? α 35° 00
- 10) A certain vector in the xy plane has an x component of 4[m] and a y component of 10[m]. Without changing its length, the vector is rotated in the xy plane until its x component is doubled. Its new y component is about: A) 20 [m] B) 7.2 [m} C) 5.0 [m] D) 4.5 Įm] E) 2.2 [m](6%) Problem 5: Consider the following vectors: A = 4.6i + 1.4j+ 3.4k В = -6. 5i + 7.1j + 10.2k 25% Part (a) What is the x-component of the vector V = 3(A × 2B)? Vx= sin() cos() tan() 7 8 9 НOME cotan() asin() acos() E 4 5 atan() acotan() sinh() 1 cosh() tanh() cotanh() + END Degrees Radians Vd BACKSPACE DEL CLEAR Feedback Submit Hint I I give up! Hints: 2 for a 0% deduction. Hints remaining: 0 Feedback: 3% deduction per feedback. -This is a cross-product, so the answer will be a vector. In this part, we just want the x-component of the vector. Keep in mind that scalars like "2" and "3" distribute 3.2. Let u, v, w and x be vectors. Classify the following expressions as being one of the following: vector, real number, meaningless. (a) (ux v) x (w x x), (b) (ux v). (w x x), (c) (ux v) (w xx), (d) u. (v x W),