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- the physical in tev tia ten sor in the Cartesian Cordinate sys tem is equal fi :I 1 o 3 2 2 1 L3 1 2 to it the angalar velocity vec tor of this ebject is ū z cw (î +} + 1) 5 I w? 2) Z I w? 2 3) 2 Iu? 2 4) 15 I w?Set 3: Find the midpoint between each pair of points. 1. (0, 8) and (8, -6) C. (8, -9) and (8, 5) М 19. (3, 7) and (-9, 5) R. (5, -6) and (-1, -8) M = 10. (6, 3) and (10, -7) M = L. (4, -1) and (6, 1) M 3= 4. (9, -4) and (-5, -10) T. (-1, -7) and (9, 9) M = M = 12. (8, -3) and (2, 3) w. (-3, 3) and (-3, 9) Set 4: Find the midpoint between each pair of points.z-3 9 Evaluate Pc z²+2z+5 fo 2 dz where C : |2| = 1 and C : |z +1 – i| = 2. z-3 Ans. fc 22z+5dz = 0 and $c z²+2z+5' z-3 0 and Pc z2+2z+5 T(i – 2).
- Calculate with residual theorem application dx Jo (x²+1)(x²+4)²2. Determine whether the vectors: T1 = (1, 1, –2, -2), 72 = (2, -3,0, 2), 73 = (-2,0, 2, 2), and 7= (3, –3, -2, 2), are linearly dependent or independent in R. Show that the first three vectors are linearly independent. Then, express the fourth one in terms of other three.please help with questions 1,2,3,4,5,,6,7,8,9,10 and 11
- 3:38 D 1 PI 44 B/s WORKSHEE... Solve the problems given below: 1. (a) Write a general matrix with dimensions 2 x 3. (b) Write a general diagonal matrix. (c) Write an identity matrix. 2. Find the following elements from 0 -1 4 3 (a) (b) (c) 31 [2 1 3. If A = -1 B = 4 1 find: - 2 (а) (b) A +B 28-С (c) (d) AC CA (e) Show that A(B + C) = AB + AC Г2 1 4 4. If A =3 0 B = 2 - 2 4 - 2 a d find C = be if A +B+C = 0. |e f -4 If A = 3 and B 3 -2 5. (a) find AB. What does this mean? (b) Confirm the answer to (a) by finding A using the formula A= B Find x if (3 21- = [0). MATHY Maihemtical Mathods in Physia [2 -1 If A= 3 0 1 -1 find 7. B= (а) A' (b) (c) B' (AB) B'A (d) (e) AO B Find the inverse of the following. 8. [2 17 (a) A = 3 2 [o -1 B (b) 3 0 (c) C= - 1 3 ...If ∣u⃗∣=3 , u⃗ is perpendicular to v⃗ and ∣3u⃗+v⃗∣=15, then ∣v⃗∣=Needs Complete solution with 100 % accuracy. Otherwise skip if u can't give answer both of them. Thank you.