Consider two vectors F 1=2 hat i +5 hat k and F 2=3 hat j +4 hat k The magnitude of the scalar product of these vectors is:

Question

Consider two vectors F 1=2 hat i +5 hat k and F 2=3 hat j +4 hat k The magnitude of the scalar product of these vectors is: (A) 26 (B) 28 (C) 30 (D) 20

Tardigrade Admin · Accepted Answer

For the scalar product, F1 . F2=(2 hati+5 hatk)(3 hatj+4 hatk) F 1 ⋅ F 2=20

Q. Consider two vectors $F_{1} = 2 \hat{i} + 5 \hat{k}$ and $F_{2} = 3 \hat{j} + 4 \hat{k}$ The magnitude of the scalar product of these vectors is:

26

28

30

20

For the scalar product,
$F_{1} . F_{2} = (2 \hat{i} + 5 \hat{k}) (3 \hat{j} + 4 \hat{k})$
$F_{1} \cdot F_{2} = 20$

Q. Consider two vectors F1​​=2i^+5k^ and F2​​=3j^​+4k^ The magnitude of the scalar product of these vectors is:

26

28

30

20

For the scalar product, F1​.F2​=(2i^+5k^)(3j^​+4k^) F1​⋅F2​=20

Q. Consider two vectors $F_{1} = 2 \hat{i} + 5 \hat{k}$ and $F_{2} = 3 \hat{j} + 4 \hat{k}$ The magnitude of the scalar product of these vectors is:

For the scalar product,
$F_{1} . F_{2} = (2 \hat{i} + 5 \hat{k}) (3 \hat{j} + 4 \hat{k})$
$F_{1} \cdot F_{2} = 20$