Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

JEE Class main Answered

if vector P +vector Q = vector R and vector P vector - vector Q = vector S , then R²+S² is equal to
Asked by mrudhulaprakashmanda844 | 13 Jul, 2022, 08:39: PM
answered-by-expert Expert Answer
begin mathsize 14px style R with rightwards arrow on top space equals space P with rightwards arrow on top space plus space Q with rightwards arrow on top end style
begin mathsize 14px style R squared space equals space R with rightwards arrow on top space times space space R with rightwards arrow on top space equals space open parentheses P with rightwards arrow on top space plus space Q with rightwards arrow on top close parentheses times open parentheses P with rightwards arrow on top space plus space Q with rightwards arrow on top close parentheses space end style
begin mathsize 14px style R squared space equals space P squared plus Q squared plus 2 space space P with rightwards arrow on top space times space space Q with rightwards arrow on top end style     ...............................(1)
begin mathsize 14px style S with rightwards arrow on top space equals space P with rightwards arrow on top space minus space Q with rightwards arrow on top end style
begin mathsize 14px style S squared space equals space S with rightwards arrow on top space times space space S with rightwards arrow on top space equals space open parentheses P with rightwards arrow on top space minus space Q with rightwards arrow on top close parentheses times open parentheses P with rightwards arrow on top space minus space Q with rightwards arrow on top close parentheses space end style
begin mathsize 14px style S squared space equals space P squared plus Q squared minus 2 space space P with rightwards arrow on top space times space space Q with rightwards arrow on top end style  ..................................(2)
By adding eqn.(1) and eqn.(2), we get

begin mathsize 14px style R squared plus S squared space equals space 1 half open parentheses P squared plus Q squared close parentheses end style
Answered by Thiyagarajan K | 13 Jul, 2022, 09:27: PM
Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
JEE main - Physics
10meast 12m north 4m south 4m West find the displacement
Asked by anjjuchalla7 | 28 Oct, 2023, 08:31: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
A person moves 3m east 4m north then find magnitude of displacement of the person
Asked by anjjuchalla7 | 27 Oct, 2023, 07:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
A stationary man observes that the rain strikes him at an angle of 60∘ to the horizontal. When he begins to move with the velocity of 25m/s then the drops appear to strike him at an angle 30∘ from horizontal. The velocity of the rain drops is : (Explain with diagram)
Asked by shubhkansal75 | 23 Nov, 2022, 09:48: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
if vector P +vector Q = vector R and vector P vector - vector Q = vector S , then R²+S² is equal to
Asked by mrudhulaprakashmanda844 | 13 Jul, 2022, 08:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
find the vector which is perpendicular to both A and B but have magnitude equal to that of B A=3i^-2j^,b=4i^+3j^-k^
Asked by anjanajyothi1234 | 19 Jun, 2022, 08:05: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
boy a is standing at a point 3 m west and 4 m south to boy b. assume the east and the north towards the positive x and y axis of coordinate system. boy a starts moving along a vector a =1.5 i +2 j with a constant speed of 2m/s for 5 seconds and stops. now how far is the boy a from the boy b
Asked by nutankumari95074 | 12 Jun, 2022, 01:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
Consider three vectors vector A, vector B, vector C. It is given that vector A and vector B lie in the x-y plane and the direction of vector C is along (+k^). Also, it is known that |vector A|=10 and |vector B|=6 units and the three vectors are related by the relation vector A=vector B - alpha(vector B X vector C), where alpha is some postive constant. Now, if only the magnitude of vector C is doubled, then what should the magnitude of vector B be, for which vector A remains unchanged (both in magnitude and direction)?
Asked by sd8022567 | 09 Jun, 2022, 01:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
Consider 4 forces: vector A: 3N, 26° East of North vector B: 5N, 11° West of North vector C: 5/√2 N, 34° West of South vector D: 4N, 64° East of South Then the magnitude of vector A + vector B + vector C + vector D is
Asked by sd8022567 | 09 Jun, 2022, 12:53: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
vector
Asked by yashkokate33 | 19 Aug, 2021, 08:43: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Physics
Let  magnitude of three vectors a=2; b=3 ; c=6. Angle between any two vector is 120 degree and the vector are coplaner ,find magnitude of resultant vector
Asked by tusharbailwal8 | 22 Apr, 2019, 07:26: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×