Find the vector $w$ with the initial point $(a, b, c)$ and final point $(a + 1, b + 2, c + 3)$ .

(a, b + 2, c + 3)

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

(a - 1, b - 2, c - 3)

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

(1, 2, 3)

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

None of these

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

Open in App

Solution

The correct option is C $(1, 2, 3)$
Given points
$A (a, b, c)$ and $B (a + 1, b + 2, c + 3)$
$\to O A = a^i + b^j + c^k$
$\to O B = (a + 1)^i + (b + 2)^j + (c + 3)^j$
vector $w$ from $A$ to $B$
$\to A B = \to O B - \to O A$
$\to w = (a + 1)^i + (b + 2)^j + (c + 3)^j - (a^i + b^j + c^k)$
$\to w = a^i + b^j + c^k +^i + 2^j + 3^j - a^i - b^j - c^k$
$\to w =^i + 2^j + 3^j = (1, 2, 3)$

Suggest Corrections

Similar questions

Q. The vector

w

with intial point

(a, b, c)

and final point

(a + 1, b + 2, c + 3)

is :

The distances of the point (1,2,3) from the coordinate area are A, B, and C respectively now consider the following equations
$(1) A^{2} = B^{2} + C^{2} (2) B^{2} = 2 C^{2} (3) 2 A^{2} C^{2} = 13 B^{2}$
Which of these holds true?

\frac{(a^{2} - b^{2})^{3} + (b^{2} - c^{2})^{3} + (c^{2} - a^{2})^{3}}{(a - b)^{3} + (b - c)^{3} + (c - a)^{3}} =

(a) 3(a + b) ( b+ c) (c + a)

(b) 3(a − b) (b − c) (c − a)

(c) (a − b) (b − c) (c − a)

(d) none of these

A = {1,2,3} and B = {a,b,c} . Which of the following is a function from A to B?

Q. Let

A = {1, 2, 3}, B = {a, b, c}

and If

f = {(1, a), (2, b), (3, c)}, g = {(1, b), (2, a), (3, b)}, h = {(1, b) (2, c), (3, a)}

then

Join BYJU'S Learning Program

Find the vector w with the initial point (a,b,c) and final point (a+1,b+2,c+3).

The correct option is C (1,2,3)Given points A(a,b,c) and B(a+1,b+2,c+3)→OA=a^i+b^j+c^k→OB=(a+1)^i+(b+2)^j+(c+3)^jvector w from A to B →AB=→OB−→OA→w=(a+1)^i+(b+2)^j+(c+3)^j−(a^i+b^j+c^k)→w=a^i+b^j+c^k+^i+2^j+3^j−a^i−b^j−c^k→w=^i+2^j+3^j=(1,2,3)

Find the vector $w$ with the initial point $(a, b, c)$ and final point $(a + 1, b + 2, c + 3)$ .