The magnitudes of the x and y components of P- are 7 and 6- The magnitudes of the x and y components of P-Q- are 11 and 9- respectively- What is the magnitude of Q-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Vector Addition

The magnitude...

Question

The magnitudes of the $x$ and $y$ components of $\to P$ are $7$ and $6$ . The magnitudes of the $x$ and $y$ components of $\to P + \to Q$ are $11$ and $9$ , respectively. What is the magnitude of $Q$ ?

9

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $5$
Let $\to R = \to P + \to Q$
${∣ ∣ \to P ∣ ∣}_{x} = 7, {∣ ∣ \to P ∣ ∣}_{y} = 6$ $& {∣ ∣ \to R ∣ ∣}_{x} = 11, {∣ ∣ \to R ∣ ∣}_{y} = 9$
$R_{x} = P_{x} + Q_{x} o r 11 - 7 = Q_{x} o r Q_{x} = 4 R_{y} {= P}_{y} + Q_{y} o r 9 - 6 = Q_{y} o r Q_{y} = 3 Q = \sqrt{4^{2} + 3^{2}} = 5$

Suggest Corrections

Similar questions

Q. The magnitude of the X and Y components of

\to A

are 7 and 6. Also the magnitudes of the X andY components of

\to A + \to B

are 11 and 9 respectively. The magnitude of

\to B

is:

The magnitude of x & y components of vector( A) are 7 & 6 respectively. Also the magnitude of x &y components of vector(A+B) are 11 & 9 respectively. The magnitude of vector (B) is?

Q. Suppose that

\to p, \to q

and

\to r

are three non-coplanar vectors in

R^{3}

. Let the components of vector of a vector

\to s

along

\to p, \to q

and

\to r

4

3

and

5

respectively. If the components of this vector

\to s

along

(- \to p + \to q + \to r)

(\to p - \to q + \to r)

and

(- \to p - \to q + \to r)

are

x, y

and

z

respectively , then the value of

2 x + y + z

Q. If

\to p

\to q

and

\to p + \to q

are vectors of magnitude

λ

then the magnitude of

| \to p - \to q |

Q. Two vectors

\to P

and

\to Q

have magnitudes

3

units and

4

units respectively.

\to R

is the resultant

\to P

and

\to Q

. Find the magnitude and direction of

\to R

when the angle

θ

between

\to P

and

\to Q

30^{o}

Join BYJU'S Learning Program

The magnitudes of the x and y components of →P are 7 and 6. The magnitudes of the x and y components of →P+→Q are 11 and 9, respectively. What is the magnitude of Q?

The correct option is D 5Let →R=→P+→Q∣∣→P∣∣x=7,∣∣→P∣∣y=6&∣∣→R∣∣x=11,∣∣→R∣∣y=9Rx=Px+Qxor11−7=QxorQx=4Ry=Py+Qyor9−6=QyorQy=3Q=√42+32=5

The magnitudes of the $x$ and $y$ components of $\to P$ are $7$ and $6$ . The magnitudes of the $x$ and $y$ components of $\to P + \to Q$ are $11$ and $9$ , respectively. What is the magnitude of $Q$ ?