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- (H.W) We consider the vector: Ā = 3î + j + 2k (a) Find the length of A Ans. V14 (b) Find the scalar product of the vector = 21 withA Ans.6 (c) Find the cross product Ax č. Ans.4j- 2k (d) Form the vectorA.C. Ans. ¡ +j + 2kWhat is the sum of the three vectors in the picture: a = (4.2 m)î – (1.5 m)ĵ, B = (-1.6 m)i + (2.9 m)ĵ, 7 = (-3.7 m)j. ○ 2.6 m O -2.3 m O 3.5m O om O (2.3m)i + (2.6m)j (2.6 m)i + (2.3 m)j O nothing from the aboveGiven the vector V = -3 ax + 2 ay, the unit vector av is : O a. av -0.83 ax + 0.55 ay O b. av = 0.83 ax + 0.55 ay O c. av -0.8 ax + 0.6 ay
- you have to vectors A and B, A=-13i+7j B=2i-3j calculate : a- the x and y components then calcuate the magnitude . b- R=A+B c- R=B-A d- A.B e- A x B f- (A x B).B(H.W) We consider the vector: Ā = 3î + j + 2k (a) Find the length of A Ans. V14 (b) Find the scalar product of the vector = 21 withA Ans.6 (c) Find the cross product Ax č. Ans.4j-2k (d) Form the vector Ã.C. Ans. i +j + 2kGiven two vectors A = 2i +3j++ 4k and B = 3i + 1j - 3k. Find the unit vector that is perpendicular to the two vectors. OA-1+61-11k 326 OB.-131+61-11k 326 OC. -î+1 -110 -- 13 13 326 O D. 6 11 -13i+ -j- - 13 13 1.93
- Two vectors are given by, a=2i+3j-k b= -i-2j+k Find a) a.b b) axb 4- Three vectors are given by a= 6i+2j-4k, b=-2i-j+k, c=3i+2j+2k Find a) a. (bxc) b) a. (b+c) c) ax (b+c)1,076 :0³ F1 The components of vectors A and B are given as follows: Bx=-5.1 Ax=7.6 Ay = -9.2 By=-6.8 What is the magnitude of the vector difference B-A ? 148,433 2 O a.2.4 O b. 13 O c.3.4 O d. 16 O e. 170 W S X mmand 38: F2 # 3 E 31 21 D 80 F3 C $ 4 R a F4 F % 5 V tv O F5 T G ^ 6 B A e F6 Y H & 7 2902 F7 U N 8 J DII FB 1 M 9 K F9 A ) O F10 L P command J F11 I + [ (11) FL optionThree vectors are given by a= 6i+2j-4k, b=-2i-j+k, c=3i+2j+2k Find a) a. (bxc) b) a. (b+c) c) ax (b+c)
- If S is a function of (x, y, z) coordinates, and P = Aî - Bj – Ck where i, j, and k are the unit vectors, drive the following: 1. V x V VS 2. V.VxVS 3. V x V. P 4. V. V x PGiven two vectors that starts from the origin: A = 2i – 7j and B = I – 3j – 5k. What is the length of vectors AB? a. -i + 4j – 5k b. 3i – 10j – 5k c. 3i + 4j – 5k d. None of the aboveVector v = <-4,4>. Vector w = <-2,-1>. If vector v+w+s = <-5,0>, what is the value of vector s?