The-magnitude-of-the-projection-of-2-3-4k-on-the-vector-k-will-be-None of the above-

The correct option is C Let a⃗ and b⃗ be the two vectors as shown The projection of b⃗ along a⃗ will be OA= | b⃗ |cos θ = | b⃗ | ( a⃗.b⃗/ | a⃗ | | ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Dot Product of Two Vectors

The magnitude...

Question

$T h e m a g n i t u d e o f t h e p r o j e c t i o n o f 2^i + 3^j + 4^k o n t h e v e c t o r^i +^j +^k w i l l b e - --- -$

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

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

None of the above

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

Open in App

Solution

The correct option is C

$L e t \to a a n d \to b b e t h e t w o v e c t o r s a s s h o w n$

$T h e p r o j e c t i o n o f \to b a l o n g \to a w i l l b e O A = ∣ ∣ \to b ∣ ∣ c o s θ = ∣ ∣ \to b ∣ ∣ (\frac{\to a . \to b}{| \to a | ∣ ∣ \to b ∣ ∣}) (c o s θ = \frac{\to a . \to b}{| \to a | ∣ ∣ \to b ∣ ∣}) = \frac{\to a . \to b}{| \to a |} S o m a g n i t u d e o f p r o j e c t i o n o f 2^i + 3^j + 4^k o n^i +^j +^k w i l l b e (2^i + 3^j + 4^k) . \frac{^i +^j +^k}{\sqrt{3}} = \frac{2}{\sqrt{3}} + \frac{3}{\sqrt{3}} + \frac{4}{\sqrt{3}} = \frac{9}{\sqrt{3}} = 3 \sqrt{3} u n i t s$

Suggest Corrections

Similar questions

$T h e m a g n i t u d e o f t h e p r o j e c t i o n o f 2^i + 3^j + 4^k o n t h e v e c t o r^i +^j +^k w i l l b e - --- -$

Q. The magnitude of the projection of the vector

2^i + 3^j +^k

on the vector perpendicular to the plane containing the vectors

^i +^j +^k

and

^i + 2^j + 3^k,

is:

Q. The magnitude of the projection of the vector

2^i + 3^j +^k

on the vector perpendicular to the plane containing the vectors

^i +^j +^k

and

^i + 2^j + 3^k,

is:

_{1} =^i +^k + λ (^i + 3^j + 4^k)

_{2} = 2^i + 3^j + μ (4^i -^j +^k)

Join BYJU'S Learning Program

The magnitude of the projection of 2^i+3^j+4^k on the vector ^i+^j+^k will be –––––

$T h e m a g n i t u d e o f t h e p r o j e c t i o n o f 2^i + 3^j + 4^k o n t h e v e c t o r^i +^j +^k w i l l b e - --- -$