Question

Two vectors are given as ř = 2î +3j+5k
and F = 3î - 2j+4k. Find the resultant
vector T =ř XF​

Answer 1

● 22i+7j-13k

is the required answer ..

◆In this question

we use vector product to find the solution :

$\tau \: = \vec{r} \times \vec{f}$

Given:

$\vec{r} = 2 \hat{i} + 3 \hat{j} + 5 \hat{k} \\ \\ and \\ \\ \vec{f} = \: 3 \hat{i} - 2 \hat{j} + 4 \hat{k}$

Soln refers to the attachment

Answer 2

r= 2i+3j+5k

and

f= 3i-2j+4k

T= r×f

= 2i+3j+5k × 3i-2j+4k

= i. j. k

2 3. 5

3. -2. 4

= I ( 12+10) -j ( 8-15) +k (-4-9)

= 22i +7j -13k

is answer