For the two vectors find A − B and |A – B| component of B along A angle between A and B A × B (A − B) × (A + B)

(e) In situation (3), give the direction of a by naming either a quadrant or a direction along an axis. (This can be done with a few mental calculations.) 3 N 2N 4 N 4 N y 47N SN 4 2N 4 N 74N 4 N y 46 N (1) +y axis Ox>0, y>0 O +x axis Ox>0, y0 y SN y 7N VAN (1) 46N 5 N 3N 5 N (3) 5 N 5 N x O +y axis (f) In situation (4), give the direction of a by naming either a quadrant or a direction along an axis. (This can be done with a few mental calculations.) Ox>0x20 5 N x 2N 5 N 2NV 46 N (2) 5 N 2N2 VAN 2 N 2 N Y (4) 5 N 3 N y 3 N 2N2 (2) y 46 N 3N 4 N (4) 3N AN 3 N 3N X 4N X

. Let A = (25 m)i + (45 m)/ and B (-25 m)ỉ + (45 m)/ . The angle between these two vectors is: A) 151° B) 209° C) 61º D) 58° E) 119°

(II) is a vector 24.8 units in magnitude and points at an angle of 23.4° above the negative x axis. (a) Sketch this vector. (b) Calculate Vx andVy (c) Use Vx and Vy to obtain (again) the magnitude and direction of V [Note:Part (c) is a good way to check if you’ve resolved your vector correctly.

Two vectors Á and B have precisely equal mag- nitudes. For the magnitude of A + B to be 100 times larger than the magnitude of Á – B, what must be the angle between them?

Suppose U and V are unit vectors in R" and ||U – aW|| = 6 and angle between U&W is 90°, then the value of a is

These are the component forms of vectors u and w: ū u = (1, 1) w = (2,4) Subtract the vectors. ū - w = ][

Two vectors P = 2i + bj + and a-i+j+k will be parallel if (d) b=- 4 (a) b = 0 (b) ь — 1 (c) b = 2

ude. (17. Let there be two vectors a and b such that a +b is in same direction as a- b. Select the correct alternative. (1) axb= 0 (2) läl>b| IS (3) Both(1) & (2) must be simultaneously true (4) a.b = 0 %3D 2021.05.06 14:47 Kindly give the answer with proper explanation...