Question

Consider the array of vectors in the figure below. 1. A = J? a. TRUE. FALSE LIH| = ||lt| TRUE. b. FALSE 2. | A - 2|=|7|? 3. A|-2=171? a. TRUE. FALSE. 4. The vector P + E has a negative x component and a positive y component? TRUE b. FALSE 5. A+ B+ C+D+ E + P + G + A+1 = 3? a. TRUE FALSE 6. The figure contains exactly two vectors having a negative x component and also a positive y component? TRUE. b. FALSE a. TRUE 7. Ö- PC? FALSE

Answer 1

A . Triangle law of vector addition: Head of It R & å are the given two vectors, then their resultant will be c. 1 starts from the head of À] g. Å is not equal to F. Because two rectors are equal only if their magnitude (length) & direction, both are same. 2. From a triangle law of vector addition, t Î Î [compare with got diagrams] >> H -Z = - Ī * Taking magnitudes, li-21 = |-7] - Ž La change the direction]

. ③ Since Titi TLH Now II1 = √ 121 + + 2 12 ) Fl caso where too is the angle do :: \Ñ + 1001 Formula in I & H, of rector addition 4 . Acc. to diagram, Shitting the p (keeping length & direc.. same) resultant resultant 1. The actual direction of ² has been erased from the diagrammas 8 a direction has been assigned with pencil, I assume the edited direction is the direction for p

in resultant for it tas o Etire. x. & (tive y component. NOTE!!! If the direction of § is taken - as per the actual print, the resultant of Etř would have been to with гэж з 4 нче - сочерьми+] - Rule: whatever. may be the now of rectors, the resultant vector is always blue the final vector & initial vectora The final vector in the addition: - At B + C + B têtř + G + F + Î is i & initial is À The resultant rector b/w Î & Å is 5. i. True. 6 Two vectors having the a & tive - are: 1 g component ō & . o we have, P+2 = 8 - 5-7 =) Again, acc. to the L'direction drawn with pencil, of p, Pte B but with the actual print alirection, 2+B