A bird flies from (-3 m, 4m, -3 m) to (7m, -2 m, -3 m) in the xyz- coordinates. The bird’s displacement vector is given by

Question

A bird flies from (-3 m, 4m, -3 m) to (7m, -2 m, -3 m) in the xyz- coordinates. The bird’s displacement vector is given by (A) (4 hati+2 hatj-6 hatk) (B) (10 hati-6 hatj) (C) (4 hati-2 hatj) (D) (10 hati+6 hatj-6 hatk)

Tardigrade Admin · Accepted Answer

Birds displacement is Δ vecr= vecr2- vecr1 ∴ Δ vecr=(7 hati-2 hatj-3 hatk)-(-3 hati+4 hatj-3 hatk) =10 hati-6 hatj

Q. A bird flies from ( $- 3 m$ , $4 m$ , $- 3 m$ ) to ( $7 m$ , $- 2 m$ , $- 3 m$ ) in the $x yz$ - coordinates. The bird’s displacement vector is given by

$(4 \hat{i} + 2 \hat{j} - 6 \hat{k})$

$(10 \hat{i} - 6 \hat{j})$

$(4 \hat{i} - 2 \hat{j})$

$(10 \hat{i} + 6 \hat{j} - 6 \hat{k})$

Birds displacement is
$Δ r = r_{2} - r_{1}$
$∴ Δ r = (7 \hat{i} - 2 \hat{j} - 3 \hat{k}) - (- 3 \hat{i} + 4 \hat{j} - 3 \hat{k})$
$= 10 \hat{i} - 6 \hat{j}$

Q. A bird flies from (−3m, 4m, −3m) to (7m, −2m, −3m) in the xyz- coordinates. The bird’s displacement vector is given by

(4i^+2j^​−6k^)

(10i^−6j^​)

(4i^−2j^​)

(10i^+6j^​−6k^)