Grade 11Mechanics
if vector A=3i+4j &vaector B=7i+24j.find the vectorhaving same magnitude as vector B & parallel to vector A
if vector A=3i+4j &vaector B=7i+24j.find the vector
having same magnitude as vector B & parallel to vector A
4 Answers
Vikas TU
Laet the new vector be C =ai + bj
a^2 + b^2 = 625 .....(1)
a/3 = b/4
a = (3/4)b .......(2)
soving eqns. (1) and (2)
a = 15 and a = -15
b = 20 and b =- 20
C = 15i + 20j
and C = 15i – 20j
a^2 + b^2 = 625 .....(1)
a/3 = b/4
a = (3/4)b .......(2)
soving eqns. (1) and (2)
a = 15 and a = -15
b = 20 and b =- 20
C = 15i + 20j
and C = 15i – 20j
saini
a vector which is parallel to 3i+4j can be written as, let D is the vector then D=a(3i+4j) where (a) is some constant as magnitude of B vector is 25 , and acc. to question the magnitude of D= magnitude of B, this implies that as magnitude of D is 5a so 5a = |25| and we get a=+5 ,-5 and required vector is D=15i+20j or -(15i+20j) as the question say that the required vector is parallel to A vector so required answer should be D=15i+20j because negative sign says that it is antiparallel
habtamu kiflu
if vector A=3i+4j &vaector B=7i+24j.find the vector
having same magnitude as vector B & parallel to vector A
Sai Disha
Le
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