Here are three displacements- each measured in meters-d 1-4 -5 -6 k- d 2-1 -2 -3 k- and d 3-4 -3 -2 k-What is r - d 1- d 2- d 3 -A- -9 -6 -7 k-B- 7 -10 -1 k- 9 -6 -7 k-D- -7 -10 -1 k-

The correct option is C d_1=4î+5ĵ 6k̂ d_2= 1î+2ĵ+3k̂ d_3=4î+3ĵ+2k̂ r=d_1 d_2+d_3 d_1=4î+5ĵ 6k̂ d_2=1î 2ĵ 3k̂ d_3=4î+3ĵ+2k̂ r=9î+6ĵ 7k̂ ...

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Byju's Answer

Standard XII

Physics

Displacement

Here are thre...

Question

Here are three displacements, each measured in meters:

$_{1} = 4^i + 5^j - 6^k,_{2} = - 1^i + 2^j + 3^k,$ and $_{3} = 4^i + 3^j + 2^k$

What is $\to r =_{1} -_{2} +_{3}$ ?

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Solution

The correct option is B

$_{1} = 4^i + 5^j - 6^k$

$_{2} = - 1^i + 2^j + 3^k$

$_{3} = 4^i + 3^j + 2^k$

$\to r =_{1} -_{2} +_{3}$

$_{1} = 4^i + 5^j - 6^k$

- $_{2} = 1^i - 2^j - 3^k$

$_{3} = 4^i + 3^j + 2^k$

$\to r = 9^i + 6^j - 7^k$

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Similar questions

Q. If the position vectors

\to A, \to B, \to C, and \to D

are

\to A = 3^i + 4^j + 5^k, \to B = 4^i + 5^j + 6^k, \to C = 7^i + 9^j + 3^k,

and

\to D = 4^i + 6^j,

then the displacement vectors

- - \to A B and - - \to C D

are

Q. The position vectors of points

A, B, C

and

D

are

A = 3^i + 4^j + 5^k

B = 4^i + 5^j + 6^k, C = 7^i + 9^j + 3^k

and

D = 4^i + 6^j

, then the displacement vectors

- - \to A B

and

- - \to C D

are

Q. The position vectors of points

A, B, C

and

D

are

A = 3^i + 4^j + 5^k, B = 4^i + 5^j + 6^k

C = 7^i + 9^j + 3^k

and

D = 4^i + 6^j

. Then, the displacement vectors

A B

and

C D

are

Q. A unit vector perpendicular to the plane of

a = 2^i - 6^j - 3^k, b = 4^i + 3^j -^k

Q. The position vectors of points

A, B, C

and

D

are

A = 3^i + 4^j + 5^k

B = 4^i + 5^j + 6^k, C = 7^i + 9^j + 3^k

and

D = 4^i + 6^j

, then the displacement vectors

- - \to A B

and

- - \to C D

are

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Here are three displacements, each measured in meters: →d1=4^i+5^j−6^k,→d2=−1^i+2^j+3^k, and →d3=4^i+3^j+2^k What is →r=→d1−→d2+→d3?

The correct option is B →d1=4^i+5^j−6^k →d2=−1^i+2^j+3^k →d3=4^i+3^j+2^k →r=→d1−→d2+→d3 →d1=4^i+5^j−6^k -→d2=1^i−2^j−3^k →d3=4^i+3^j+2^k →r=9^i+6^j−7^k

Here are three displacements, each measured in meters:

$_{1} = 4^i + 5^j - 6^k,_{2} = - 1^i + 2^j + 3^k,$ and $_{3} = 4^i + 3^j + 2^k$

What is $\to r =_{1} -_{2} +_{3}$ ?

The correct option is B

$_{1} = 4^i + 5^j - 6^k$

$_{2} = - 1^i + 2^j + 3^k$

$_{3} = 4^i + 3^j + 2^k$

$\to r =_{1} -_{2} +_{3}$

$_{1} = 4^i + 5^j - 6^k$

- $_{2} = 1^i - 2^j - 3^k$

$_{3} = 4^i + 3^j + 2^k$

$\to r = 9^i + 6^j - 7^k$